4(w-2)-7=-4(-5w+3)-w

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Solution for 4(w-2)-7=-4(-5w+3)-w equation:


Simplifying
4(w + -2) + -7 = -4(-5w + 3) + -1w

Reorder the terms:
4(-2 + w) + -7 = -4(-5w + 3) + -1w
(-2 * 4 + w * 4) + -7 = -4(-5w + 3) + -1w
(-8 + 4w) + -7 = -4(-5w + 3) + -1w

Reorder the terms:
-8 + -7 + 4w = -4(-5w + 3) + -1w

Combine like terms: -8 + -7 = -15
-15 + 4w = -4(-5w + 3) + -1w

Reorder the terms:
-15 + 4w = -4(3 + -5w) + -1w
-15 + 4w = (3 * -4 + -5w * -4) + -1w
-15 + 4w = (-12 + 20w) + -1w

Combine like terms: 20w + -1w = 19w
-15 + 4w = -12 + 19w

Solving
-15 + 4w = -12 + 19w

Solving for variable 'w'.

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

Add '-19w' to each side of the equation.
-15 + 4w + -19w = -12 + 19w + -19w

Combine like terms: 4w + -19w = -15w
-15 + -15w = -12 + 19w + -19w

Combine like terms: 19w + -19w = 0
-15 + -15w = -12 + 0
-15 + -15w = -12

Add '15' to each side of the equation.
-15 + 15 + -15w = -12 + 15

Combine like terms: -15 + 15 = 0
0 + -15w = -12 + 15
-15w = -12 + 15

Combine like terms: -12 + 15 = 3
-15w = 3

Divide each side by '-15'.
w = -0.2

Simplifying
w = -0.2

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