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21 votes
21 votes
Solve for w-39=4w+7(w-3)Simplify your answer as much as possible

User Josh Bedo
by
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1 Answer

13 votes
13 votes

Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property


\begin{gathered} -39=4w+7(w)+7(-3) \\ \\ -39=4w+7w-21 \end{gathered}

• Step 2.

Combine like terms


-39=11w-21

• Step 3.

Add 21 to both sides


\begin{gathered} -39+21=11w-21+21 \\ \\ -18=11w \end{gathered}

Step 4.

Divide both sides by 11


\begin{gathered} (-18)/(11)=(11w)/(11) \\ \\ -1.63=w \\ \\ w=-1.63 \end{gathered}

ANSWER:

w = -1.63

User Elliott Hill
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2.8k points