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

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


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

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

Combine like terms: -6w + 6w = 0
4 + 0 = 3 + 2(6w + -7)
4 = 3 + 2(6w + -7)

Reorder the terms:
4 = 3 + 2(-7 + 6w)
4 = 3 + (-7 * 2 + 6w * 2)
4 = 3 + (-14 + 12w)

Combine like terms: 3 + -14 = -11
4 = -11 + 12w

Solving
4 = -11 + 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.
4 + -12w = -11 + 12w + -12w

Combine like terms: 12w + -12w = 0
4 + -12w = -11 + 0
4 + -12w = -11

Add '-4' to each side of the equation.
4 + -4 + -12w = -11 + -4

Combine like terms: 4 + -4 = 0
0 + -12w = -11 + -4
-12w = -11 + -4

Combine like terms: -11 + -4 = -15
-12w = -15

Divide each side by '-12'.
w = 1.25

Simplifying
w = 1.25

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