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

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


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

Reorder the terms:
2 + 2(-7 + 6w) = -3(2w + -1) + 6w
2 + (-7 * 2 + 6w * 2) = -3(2w + -1) + 6w
2 + (-14 + 12w) = -3(2w + -1) + 6w

Combine like terms: 2 + -14 = -12
-12 + 12w = -3(2w + -1) + 6w

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

Combine like terms: -6w + 6w = 0
-12 + 12w = 3 + 0
-12 + 12w = 3

Solving
-12 + 12w = 3

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 + 12w = 3 + 12

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

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

Divide each side by '12'.
w = 1.25

Simplifying
w = 1.25

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