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

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


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

Reorder the terms:
7w + 1 + -2(-2 + -8w) = 7(w + -1)
7w + 1 + (-2 * -2 + -8w * -2) = 7(w + -1)
7w + 1 + (4 + 16w) = 7(w + -1)

Reorder the terms:
1 + 4 + 7w + 16w = 7(w + -1)

Combine like terms: 1 + 4 = 5
5 + 7w + 16w = 7(w + -1)

Combine like terms: 7w + 16w = 23w
5 + 23w = 7(w + -1)

Reorder the terms:
5 + 23w = 7(-1 + w)
5 + 23w = (-1 * 7 + w * 7)
5 + 23w = (-7 + 7w)

Solving
5 + 23w = -7 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
5 + 23w + -7w = -7 + 7w + -7w

Combine like terms: 23w + -7w = 16w
5 + 16w = -7 + 7w + -7w

Combine like terms: 7w + -7w = 0
5 + 16w = -7 + 0
5 + 16w = -7

Add '-5' to each side of the equation.
5 + -5 + 16w = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 16w = -7 + -5
16w = -7 + -5

Combine like terms: -7 + -5 = -12
16w = -12

Divide each side by '16'.
w = -0.75

Simplifying
w = -0.75

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