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Name: Date: Period: Distributive Property and Combining Like Terms Simplify each expression. Show your steps. 1) 9(3x + 5) + 14x 10 2) 8p + 3(2 12p) 11 + 19p 3) 22 3(7p + 10) 4) 5k + 12 m (2 m +
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Point by point how to fill out distributive property and combining:

01
Start by understanding what the distributive property is. The distributive property states that when you have a number or variable outside of parentheses and you need to multiply it by the terms inside the parentheses, you distribute the number or variable to each term individually.
02
Simplify any terms inside the parentheses before applying the distributive property. This means combining like terms, multiplying any coefficients, and performing any necessary operations.
03
Apply the distributive property. Multiply the number or variable outside the parentheses by each term inside the parentheses. Make sure to distribute the multiplication to each term.
04
Combine any like terms. If there are any similar terms after applying the distributive property, combine them by adding or subtracting them.
05
Continue simplifying the expression, if necessary. Look for any additional operations or simplifications that can be performed, such as multiplying or dividing.

Who needs distributive property and combining:

01
Students studying algebra: The distributive property is a fundamental concept in algebra, and understanding how to properly apply it is crucial for solving equations and simplifying expressions.
02
Mathematicians: The distributive property is a fundamental property in mathematics, and it is used in various branches of mathematics such as algebra, calculus, and number theory. Mathematicians need a solid understanding of the distributive property to solve complex mathematical problems.
03
Engineers and scientists: In fields such as engineering and science, equations are often used to model and solve real-world problems. The distributive property is frequently employed in these fields to simplify equations and make them easier to solve.
04
Anyone dealing with mathematical calculations: From basic arithmetic to more advanced mathematical calculations, the distributive property and combining are useful tools. Whether it's calculating the cost of multiple items or solving complex equations, understanding these concepts can make calculations more efficient and accurate.
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Distributive property is a mathematical property that states that the result of multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products together.
Individuals or businesses who have transactions involving combined assets or income.
To fill out distributive property and combining, you need to gather all relevant information about the transactions, calculate the total combined assets or income, and report it accurately on the appropriate forms.
The purpose of distributive property and combining is to accurately report and calculate the total assets or income resulting from combined transactions.
All details of the combined transactions, including assets, income, and any relevant expenses or deductions.
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