8. What value of $$ w $$ makes the equation below true? $$ \frac{3}{4} w+8=\frac{1}{3} w-7 $$

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UpStudy AI · Accepted Answer

Solve the equation $$ \frac{3}{4}w+8=\frac{1}{3}w-7 $$.
Solve the equation by following steps:
- step0: Solve for $$w$$:
  $$\frac{3}{4}w+8=\frac{1}{3}w-7$$
- step1: Multiply both sides of the equation by LCM:
  $$\left(\frac{3}{4}w+8ight)	imes 12=\left(\frac{1}{3}w-7ight)	imes 12$$
- step2: Calculate:
  $$9w+96=\left(\frac{1}{3}w-7ight)	imes 12$$
- step3: Calculate:
  $$9w+96=4w-84$$
- step4: Move the expression to the left side:
  $$9w-4w=-84-96$$
- step5: Add and subtract:
  $$5w=-84-96$$
- step6: Add and subtract:
  $$5w=-180$$
- step7: Divide both sides:
  $$\frac{5w}{5}=\frac{-180}{5}$$
- step8: Divide the numbers:
  $$w=-36$$
The value of $$ w $$ that makes the equation true is $$ w = -36 $$.
$$ w = -36 $$

What value of makes the
equation below true?

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