Question
Solve for w, -6(w-9)=-3w+27 Simplify your answer as much as possible, w=
Ask by Rojas Elliott.
Jan 22,2025 07:08
UpStudy AI Solution
Tutor-Verified Answer
Answer
\( w = 9 \)
Solution
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Let's solve the equation step by step.
Starting with:
\[
-6(w - 9) = -3w + 27
\]
Distributing \(-6\) on the left side:
\[
-6w + 54 = -3w + 27
\]
Next, we can get all the terms involving \(w\) on one side and constant terms on the other. Let's add \(6w\) to both sides:
\[
54 = 3w + 27
\]
Now, subtract \(27\) from both sides to isolate the term with \(w\):
\[
54 - 27 = 3w
\]
\[
27 = 3w
\]
Finally, divide both sides by \(3\) to solve for \(w\):
\[
w = \frac{27}{3} = 9
\]
So, the solution is:
\( w = 9 \)
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