9+2(6w-3)=-3(2w-3)+9w

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


Simplifying
9 + 2(6w + -3) = -3(2w + -3) + 9w

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

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

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

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

Solving
3 + 12w = 9 + 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.
3 + 12w + -3w = 9 + 3w + -3w

Combine like terms: 12w + -3w = 9w
3 + 9w = 9 + 3w + -3w

Combine like terms: 3w + -3w = 0
3 + 9w = 9 + 0
3 + 9w = 9

Add '-3' to each side of the equation.
3 + -3 + 9w = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 9w = 9 + -3
9w = 9 + -3

Combine like terms: 9 + -3 = 6
9w = 6

Divide each side by '9'.
w = 0.6666666667

Simplifying
w = 0.6666666667

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