5(w-4)-(7w-6)=-3W

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Solution for 5(w-4)-(7w-6)=-3W equation: 


Simplifying
5(w + -4) + -1(7w + -6) = -3W

Reorder the terms:
5(-4 + w) + -1(7w + -6) = -3W
(-4 * 5 + w * 5) + -1(7w + -6) = -3W
(-20 + 5w) + -1(7w + -6) = -3W

Reorder the terms:
-20 + 5w + -1(-6 + 7w) = -3W
-20 + 5w + (-6 * -1 + 7w * -1) = -3W
-20 + 5w + (6 + -7w) = -3W

Reorder the terms:
-20 + 6 + 5w + -7w = -3W

Combine like terms: -20 + 6 = -14
-14 + 5w + -7w = -3W

Combine like terms: 5w + -7w = -2w
-14 + -2w = -3W

Solving
-14 + -2w = -3W

Solving for variable 'w'.

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

Add '14' to each side of the equation.
-14 + 14 + -2w = 14 + -3W

Combine like terms: -14 + 14 = 0
0 + -2w = 14 + -3W
-2w = 14 + -3W

Divide each side by '-2'.
w = -7 + 1.5W

Simplifying
w = -7 + 1.5W

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