9+7(2w-3)=-2(3w-3)+6w

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Solution for 9+7(2w-3)=-2(3w-3)+6w equation:


Simplifying
9 + 7(2w + -3) = -2(3w + -3) + 6w

Reorder the terms:
9 + 7(-3 + 2w) = -2(3w + -3) + 6w
9 + (-3 * 7 + 2w * 7) = -2(3w + -3) + 6w
9 + (-21 + 14w) = -2(3w + -3) + 6w

Combine like terms: 9 + -21 = -12
-12 + 14w = -2(3w + -3) + 6w

Reorder the terms:
-12 + 14w = -2(-3 + 3w) + 6w
-12 + 14w = (-3 * -2 + 3w * -2) + 6w
-12 + 14w = (6 + -6w) + 6w

Combine like terms: -6w + 6w = 0
-12 + 14w = 6 + 0
-12 + 14w = 6

Solving
-12 + 14w = 6

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + 14w = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 14w = 6 + 12
14w = 6 + 12

Combine like terms: 6 + 12 = 18
14w = 18

Divide each side by '14'.
w = 1.285714286

Simplifying
w = 1.285714286

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