8+6(3w-1)=-3(2w-4)+9w

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Solution for 8+6(3w-1)=-3(2w-4)+9w equation:


Simplifying
8 + 6(3w + -1) = -3(2w + -4) + 9w

Reorder the terms:
8 + 6(-1 + 3w) = -3(2w + -4) + 9w
8 + (-1 * 6 + 3w * 6) = -3(2w + -4) + 9w
8 + (-6 + 18w) = -3(2w + -4) + 9w

Combine like terms: 8 + -6 = 2
2 + 18w = -3(2w + -4) + 9w

Reorder the terms:
2 + 18w = -3(-4 + 2w) + 9w
2 + 18w = (-4 * -3 + 2w * -3) + 9w
2 + 18w = (12 + -6w) + 9w

Combine like terms: -6w + 9w = 3w
2 + 18w = 12 + 3w

Solving
2 + 18w = 12 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
2 + 18w + -3w = 12 + 3w + -3w

Combine like terms: 18w + -3w = 15w
2 + 15w = 12 + 3w + -3w

Combine like terms: 3w + -3w = 0
2 + 15w = 12 + 0
2 + 15w = 12

Add '-2' to each side of the equation.
2 + -2 + 15w = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 15w = 12 + -2
15w = 12 + -2

Combine like terms: 12 + -2 = 10
15w = 10

Divide each side by '15'.
w = 0.6666666667

Simplifying
w = 0.6666666667

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