4w+2-7(-2w-2)=2(w-1)

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Solution for 4w+2-7(-2w-2)=2(w-1) equation: 


Simplifying
4w + 2 + -7(-2w + -2) = 2(w + -1)

Reorder the terms:
4w + 2 + -7(-2 + -2w) = 2(w + -1)
4w + 2 + (-2 * -7 + -2w * -7) = 2(w + -1)
4w + 2 + (14 + 14w) = 2(w + -1)

Reorder the terms:
2 + 14 + 4w + 14w = 2(w + -1)

Combine like terms: 2 + 14 = 16
16 + 4w + 14w = 2(w + -1)

Combine like terms: 4w + 14w = 18w
16 + 18w = 2(w + -1)

Reorder the terms:
16 + 18w = 2(-1 + w)
16 + 18w = (-1 * 2 + w * 2)
16 + 18w = (-2 + 2w)

Solving
16 + 18w = -2 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
16 + 18w + -2w = -2 + 2w + -2w

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

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

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

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

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

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

Simplifying
w = -1.125

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