-3(5w-4)+9w=2(w+8)

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Solution for -3(5w-4)+9w=2(w+8) equation:


Simplifying
-3(5w + -4) + 9w = 2(w + 8)

Reorder the terms:
-3(-4 + 5w) + 9w = 2(w + 8)
(-4 * -3 + 5w * -3) + 9w = 2(w + 8)
(12 + -15w) + 9w = 2(w + 8)

Combine like terms: -15w + 9w = -6w
12 + -6w = 2(w + 8)

Reorder the terms:
12 + -6w = 2(8 + w)
12 + -6w = (8 * 2 + w * 2)
12 + -6w = (16 + 2w)

Solving
12 + -6w = 16 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
12 + -6w + -2w = 16 + 2w + -2w

Combine like terms: -6w + -2w = -8w
12 + -8w = 16 + 2w + -2w

Combine like terms: 2w + -2w = 0
12 + -8w = 16 + 0
12 + -8w = 16

Add '-12' to each side of the equation.
12 + -12 + -8w = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -8w = 16 + -12
-8w = 16 + -12

Combine like terms: 16 + -12 = 4
-8w = 4

Divide each side by '-8'.
w = -0.5

Simplifying
w = -0.5

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