2(w+1)=-2(8w-7)+8w

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Solution for 2(w+1)=-2(8w-7)+8w equation:


Simplifying
2(w + 1) = -2(8w + -7) + 8w

Reorder the terms:
2(1 + w) = -2(8w + -7) + 8w
(1 * 2 + w * 2) = -2(8w + -7) + 8w
(2 + 2w) = -2(8w + -7) + 8w

Reorder the terms:
2 + 2w = -2(-7 + 8w) + 8w
2 + 2w = (-7 * -2 + 8w * -2) + 8w
2 + 2w = (14 + -16w) + 8w

Combine like terms: -16w + 8w = -8w
2 + 2w = 14 + -8w

Solving
2 + 2w = 14 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
2 + 2w + 8w = 14 + -8w + 8w

Combine like terms: 2w + 8w = 10w
2 + 10w = 14 + -8w + 8w

Combine like terms: -8w + 8w = 0
2 + 10w = 14 + 0
2 + 10w = 14

Add '-2' to each side of the equation.
2 + -2 + 10w = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 10w = 14 + -2
10w = 14 + -2

Combine like terms: 14 + -2 = 12
10w = 12

Divide each side by '10'.
w = 1.2

Simplifying
w = 1.2

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