Answer :
Answer:
w= -10
Step-by-step explanation:
Simplifying
14 + 12w = -16 + 9w
Solving
14 + 12w = -16 + 9w
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-9w' to each side of the equation.
14 + 12w + -9w = -16 + 9w + -9w
Combine like terms: 12w + -9w = 3w
14 + 3w = -16 + 9w + -9w
Combine like terms: 9w + -9w = 0
14 + 3w = -16 + 0
14 + 3w = -16
Add '-14' to each side of the equation.
14 + -14 + 3w = -16 + -14
Combine like terms: 14 + -14 = 0
0 + 3w = -16 + -14
3w = -16 + -14
Combine like terms: -16 + -14 = -30
3w = -30
Divide each side by '3'.
w = -10
Simplifying
w = -10