7(w-1)-5=-2(-5w+1)-9w

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Solution for 7(w-1)-5=-2(-5w+1)-9w equation:


Simplifying
7(w + -1) + -5 = -2(-5w + 1) + -9w

Reorder the terms:
7(-1 + w) + -5 = -2(-5w + 1) + -9w
(-1 * 7 + w * 7) + -5 = -2(-5w + 1) + -9w
(-7 + 7w) + -5 = -2(-5w + 1) + -9w

Reorder the terms:
-7 + -5 + 7w = -2(-5w + 1) + -9w

Combine like terms: -7 + -5 = -12
-12 + 7w = -2(-5w + 1) + -9w

Reorder the terms:
-12 + 7w = -2(1 + -5w) + -9w
-12 + 7w = (1 * -2 + -5w * -2) + -9w
-12 + 7w = (-2 + 10w) + -9w

Combine like terms: 10w + -9w = 1w
-12 + 7w = -2 + 1w

Solving
-12 + 7w = -2 + 1w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-12 + 7w + -1w = -2 + 1w + -1w

Combine like terms: 7w + -1w = 6w
-12 + 6w = -2 + 1w + -1w

Combine like terms: 1w + -1w = 0
-12 + 6w = -2 + 0
-12 + 6w = -2

Add '12' to each side of the equation.
-12 + 12 + 6w = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 6w = -2 + 12
6w = -2 + 12

Combine like terms: -2 + 12 = 10
6w = 10

Divide each side by '6'.
w = 1.666666667

Simplifying
w = 1.666666667

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