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Simplify the following expression: 2(4y + 5z) - 10z.

Question:

Simplify the following expression: 2(4y + 5z) - 10z.

Algebraic Expressions

Algebraic expressions are algebraic terms with mathematical operations in between. Some of these algebraic operations are addition, subtraction, multiplication, and division.

Answer and Explanation:

In the algebraic expression below in order to simplify it, the {eq}2 {/eq} has to be distributed first:

{eq}2(4y + 5z) - 10z {/eq}

{eq}8y + 10z - 10z {/eq}

Following the operations:

{eq}8y + 10z - 10z= 8y {/eq}

Thus, the simplified version of the expression {eq}2(4y + 5z) - 10z {/eq} is {eq}8y {/eq}.


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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