9-(12w)=12(3(w+2))

Solution for 9-(12w)=12(3(w+2)) equation:

Simplifying
9 + -1(12w) = 12(3(w + 2))

Remove parenthesis around (12w)
9 + -1 * 12w = 12(3(w + 2))

Multiply -1 * 12
9 + -12w = 12(3(w + 2))

Reorder the terms:
9 + -12w = 12(3(2 + w))
9 + -12w = 12((2 * 3 + w * 3))
9 + -12w = 12((6 + 3w))
9 + -12w = (6 * 12 + 3w * 12)
9 + -12w = (72 + 36w)

Solving
9 + -12w = 72 + 36w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-36w' to each side of the equation.
9 + -12w + -36w = 72 + 36w + -36w

Combine like terms: -12w + -36w = -48w
9 + -48w = 72 + 36w + -36w

Combine like terms: 36w + -36w = 0
9 + -48w = 72 + 0
9 + -48w = 72

Add '-9' to each side of the equation.
9 + -9 + -48w = 72 + -9

Combine like terms: 9 + -9 = 0
0 + -48w = 72 + -9
-48w = 72 + -9

Combine like terms: 72 + -9 = 63
-48w = 63

Divide each side by '-48'.
w = -1.3125

Simplifying
w = -1.3125