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

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


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

Reorder the terms:
3(-4 + w) + -7 = -5(-4w + 5) + -1w
(-4 * 3 + w * 3) + -7 = -5(-4w + 5) + -1w
(-12 + 3w) + -7 = -5(-4w + 5) + -1w

Reorder the terms:
-12 + -7 + 3w = -5(-4w + 5) + -1w

Combine like terms: -12 + -7 = -19
-19 + 3w = -5(-4w + 5) + -1w

Reorder the terms:
-19 + 3w = -5(5 + -4w) + -1w
-19 + 3w = (5 * -5 + -4w * -5) + -1w
-19 + 3w = (-25 + 20w) + -1w

Combine like terms: 20w + -1w = 19w
-19 + 3w = -25 + 19w

Solving
-19 + 3w = -25 + 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.
-19 + 3w + -19w = -25 + 19w + -19w

Combine like terms: 3w + -19w = -16w
-19 + -16w = -25 + 19w + -19w

Combine like terms: 19w + -19w = 0
-19 + -16w = -25 + 0
-19 + -16w = -25

Add '19' to each side of the equation.
-19 + 19 + -16w = -25 + 19

Combine like terms: -19 + 19 = 0
0 + -16w = -25 + 19
-16w = -25 + 19

Combine like terms: -25 + 19 = -6
-16w = -6

Divide each side by '-16'.
w = 0.375

Simplifying
w = 0.375

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