7(W-2)-8=-3(-7W+6)-4W

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Solution for 7(W-2)-8=-3(-7W+6)-4W equation: 


Simplifying
7(W + -2) + -8 = -3(-7W + 6) + -4W

Reorder the terms:
7(-2 + W) + -8 = -3(-7W + 6) + -4W
(-2 * 7 + W * 7) + -8 = -3(-7W + 6) + -4W
(-14 + 7W) + -8 = -3(-7W + 6) + -4W

Reorder the terms:
-14 + -8 + 7W = -3(-7W + 6) + -4W

Combine like terms: -14 + -8 = -22
-22 + 7W = -3(-7W + 6) + -4W

Reorder the terms:
-22 + 7W = -3(6 + -7W) + -4W
-22 + 7W = (6 * -3 + -7W * -3) + -4W
-22 + 7W = (-18 + 21W) + -4W

Combine like terms: 21W + -4W = 17W
-22 + 7W = -18 + 17W

Solving
-22 + 7W = -18 + 17W

Solving for variable 'W'.

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

Add '-17W' to each side of the equation.
-22 + 7W + -17W = -18 + 17W + -17W

Combine like terms: 7W + -17W = -10W
-22 + -10W = -18 + 17W + -17W

Combine like terms: 17W + -17W = 0
-22 + -10W = -18 + 0
-22 + -10W = -18

Add '22' to each side of the equation.
-22 + 22 + -10W = -18 + 22

Combine like terms: -22 + 22 = 0
0 + -10W = -18 + 22
-10W = -18 + 22

Combine like terms: -18 + 22 = 4
-10W = 4

Divide each side by '-10'.
W = -0.4

Simplifying
W = -0.4

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