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Use the distributive property to help solve the equation. 8 (w - 4) = -32.

Question:

Use the distributive property to help solve the equation. {eq}8 (w - 4) = -32 {/eq}.

Distributive Property:

The distributive property states that the product of a number and a sum is equal to the sum of the product of each term. The given equation makes use of distributive property as there is a common term in product for two terms.

Distributive Property:

{eq}a(x+b)=ax+ab {/eq}.

Answer and Explanation:

{eq}\begin{align*} 8 (w - 4) &= -32\\ 8w-8(4)&=-32&\text{[Multiply using distributive property]}\\ 8w-32&=-32&\text{[Simplify]}\\ 8w-32+32&=-32+32&\text{[Add 32 on both the sides]}\\ 8w&=0&\text{[Simplify]}\\ w&=0 \end{align*} {/eq}


Learn more about this topic:

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Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20
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