5(w-4)-2=-4(-5w+6)-7w

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Solution for 5(w-4)-2=-4(-5w+6)-7w equation:


Simplifying
5(w + -4) + -2 = -4(-5w + 6) + -7w

Reorder the terms:
5(-4 + w) + -2 = -4(-5w + 6) + -7w
(-4 * 5 + w * 5) + -2 = -4(-5w + 6) + -7w
(-20 + 5w) + -2 = -4(-5w + 6) + -7w

Reorder the terms:
-20 + -2 + 5w = -4(-5w + 6) + -7w

Combine like terms: -20 + -2 = -22
-22 + 5w = -4(-5w + 6) + -7w

Reorder the terms:
-22 + 5w = -4(6 + -5w) + -7w
-22 + 5w = (6 * -4 + -5w * -4) + -7w
-22 + 5w = (-24 + 20w) + -7w

Combine like terms: 20w + -7w = 13w
-22 + 5w = -24 + 13w

Solving
-22 + 5w = -24 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
-22 + 5w + -13w = -24 + 13w + -13w

Combine like terms: 5w + -13w = -8w
-22 + -8w = -24 + 13w + -13w

Combine like terms: 13w + -13w = 0
-22 + -8w = -24 + 0
-22 + -8w = -24

Add '22' to each side of the equation.
-22 + 22 + -8w = -24 + 22

Combine like terms: -22 + 22 = 0
0 + -8w = -24 + 22
-8w = -24 + 22

Combine like terms: -24 + 22 = -2
-8w = -2

Divide each side by '-8'.
w = 0.25

Simplifying
w = 0.25

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