-2(7w-1)+2w=2+2(2w-9)

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Solution for -2(7w-1)+2w=2+2(2w-9) equation: 


Simplifying
-2(7w + -1) + 2w = 2 + 2(2w + -9)

Reorder the terms:
-2(-1 + 7w) + 2w = 2 + 2(2w + -9)
(-1 * -2 + 7w * -2) + 2w = 2 + 2(2w + -9)
(2 + -14w) + 2w = 2 + 2(2w + -9)

Combine like terms: -14w + 2w = -12w
2 + -12w = 2 + 2(2w + -9)

Reorder the terms:
2 + -12w = 2 + 2(-9 + 2w)
2 + -12w = 2 + (-9 * 2 + 2w * 2)
2 + -12w = 2 + (-18 + 4w)

Combine like terms: 2 + -18 = -16
2 + -12w = -16 + 4w

Solving
2 + -12w = -16 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
2 + -12w + -4w = -16 + 4w + -4w

Combine like terms: -12w + -4w = -16w
2 + -16w = -16 + 4w + -4w

Combine like terms: 4w + -4w = 0
2 + -16w = -16 + 0
2 + -16w = -16

Add '-2' to each side of the equation.
2 + -2 + -16w = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -16w = -16 + -2
-16w = -16 + -2

Combine like terms: -16 + -2 = -18
-16w = -18

Divide each side by '-16'.
w = 1.125

Simplifying
w = 1.125

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