Question

3/4 W + 8 = 1/3 w – 7

Answer 1

W = -36

Explanation:

`(3)/(4)W+8=(1)/(3)W-7\qquad\text{subtract 8 from both sides}\\\\(3)/(4)W+8-8=(1)/(3)W-7-8\\\\(3)/(4)W=(1)/(3)W-15\qquad\text{multiply both sides by}\ LCM(4,\ 3)=12\\\\12\!\!\!\!\!\diagup^3\cdot(3)/(4\!\!\!\!\diagup_1)W=12\!\!\!\!\!\diagup^4\cdot(1)/(3\!\!\!\!\diagup_1)W-(12)(15)\\\\(3)(3W)=(4)(1W)-180\\\\9W=4W-180\qquad\text{subtract}\ 4W\ \text{from both sides}\\\\9W-4W=4W-4W-180\\\\5W=-180\qquad\text{divide both sides by 5}\\\\(5W)/(5)=(-180)/(5)\\\\W=-36`