-2(w-1)=-7w+22

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Solution for -2(w-1)=-7w+22 equation: 


Simplifying
-2(w + -1) = -7w + 22

Reorder the terms:
-2(-1 + w) = -7w + 22
(-1 * -2 + w * -2) = -7w + 22
(2 + -2w) = -7w + 22

Reorder the terms:
2 + -2w = 22 + -7w

Solving
2 + -2w = 22 + -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.
2 + -2w + 7w = 22 + -7w + 7w

Combine like terms: -2w + 7w = 5w
2 + 5w = 22 + -7w + 7w

Combine like terms: -7w + 7w = 0
2 + 5w = 22 + 0
2 + 5w = 22

Add '-2' to each side of the equation.
2 + -2 + 5w = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 5w = 22 + -2
5w = 22 + -2

Combine like terms: 22 + -2 = 20
5w = 20

Divide each side by '5'.
w = 4

Simplifying
w = 4

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