9(15w+12)=12(9w+32)

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Solution for 9(15w+12)=12(9w+32) equation:


Simplifying
9(15w + 12) = 12(9w + 32)

Reorder the terms:
9(12 + 15w) = 12(9w + 32)
(12 * 9 + 15w * 9) = 12(9w + 32)
(108 + 135w) = 12(9w + 32)

Reorder the terms:
108 + 135w = 12(32 + 9w)
108 + 135w = (32 * 12 + 9w * 12)
108 + 135w = (384 + 108w)

Solving
108 + 135w = 384 + 108w

Solving for variable 'w'.

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

Add '-108w' to each side of the equation.
108 + 135w + -108w = 384 + 108w + -108w

Combine like terms: 135w + -108w = 27w
108 + 27w = 384 + 108w + -108w

Combine like terms: 108w + -108w = 0
108 + 27w = 384 + 0
108 + 27w = 384

Add '-108' to each side of the equation.
108 + -108 + 27w = 384 + -108

Combine like terms: 108 + -108 = 0
0 + 27w = 384 + -108
27w = 384 + -108

Combine like terms: 384 + -108 = 276
27w = 276

Divide each side by '27'.
w = 10.22222222

Simplifying
w = 10.22222222

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