6(w+3)-(-7w-7)=12w

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Solution for 6(w+3)-(-7w-7)=12w equation: 


Simplifying
6(w + 3) + -1(-7w + -7) = 12w

Reorder the terms:
6(3 + w) + -1(-7w + -7) = 12w
(3 * 6 + w * 6) + -1(-7w + -7) = 12w
(18 + 6w) + -1(-7w + -7) = 12w

Reorder the terms:
18 + 6w + -1(-7 + -7w) = 12w
18 + 6w + (-7 * -1 + -7w * -1) = 12w
18 + 6w + (7 + 7w) = 12w

Reorder the terms:
18 + 7 + 6w + 7w = 12w

Combine like terms: 18 + 7 = 25
25 + 6w + 7w = 12w

Combine like terms: 6w + 7w = 13w
25 + 13w = 12w

Solving
25 + 13w = 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
25 + 13w + -12w = 12w + -12w

Combine like terms: 13w + -12w = 1w
25 + 1w = 12w + -12w

Combine like terms: 12w + -12w = 0
25 + 1w = 0

Add '-25' to each side of the equation.
25 + -25 + 1w = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 1w = 0 + -25
1w = 0 + -25

Combine like terms: 0 + -25 = -25
1w = -25

Divide each side by '1'.
w = -25

Simplifying
w = -25

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