3w+7-2(-6w-2)=3(w-1)

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Solution for 3w+7-2(-6w-2)=3(w-1) equation: 


Simplifying
3w + 7 + -2(-6w + -2) = 3(w + -1)

Reorder the terms:
3w + 7 + -2(-2 + -6w) = 3(w + -1)
3w + 7 + (-2 * -2 + -6w * -2) = 3(w + -1)
3w + 7 + (4 + 12w) = 3(w + -1)

Reorder the terms:
7 + 4 + 3w + 12w = 3(w + -1)

Combine like terms: 7 + 4 = 11
11 + 3w + 12w = 3(w + -1)

Combine like terms: 3w + 12w = 15w
11 + 15w = 3(w + -1)

Reorder the terms:
11 + 15w = 3(-1 + w)
11 + 15w = (-1 * 3 + w * 3)
11 + 15w = (-3 + 3w)

Solving
11 + 15w = -3 + 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.
11 + 15w + -3w = -3 + 3w + -3w

Combine like terms: 15w + -3w = 12w
11 + 12w = -3 + 3w + -3w

Combine like terms: 3w + -3w = 0
11 + 12w = -3 + 0
11 + 12w = -3

Add '-11' to each side of the equation.
11 + -11 + 12w = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 12w = -3 + -11
12w = -3 + -11

Combine like terms: -3 + -11 = -14
12w = -14

Divide each side by '12'.
w = -1.166666667

Simplifying
w = -1.166666667

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