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

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


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

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

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

Combine like terms: -8 + -3 = -11
-11 + 4w = -3(-7w + 7) + -5w

Reorder the terms:
-11 + 4w = -3(7 + -7w) + -5w
-11 + 4w = (7 * -3 + -7w * -3) + -5w
-11 + 4w = (-21 + 21w) + -5w

Combine like terms: 21w + -5w = 16w
-11 + 4w = -21 + 16w

Solving
-11 + 4w = -21 + 16w

Solving for variable 'w'.

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

Add '-16w' to each side of the equation.
-11 + 4w + -16w = -21 + 16w + -16w

Combine like terms: 4w + -16w = -12w
-11 + -12w = -21 + 16w + -16w

Combine like terms: 16w + -16w = 0
-11 + -12w = -21 + 0
-11 + -12w = -21

Add '11' to each side of the equation.
-11 + 11 + -12w = -21 + 11

Combine like terms: -11 + 11 = 0
0 + -12w = -21 + 11
-12w = -21 + 11

Combine like terms: -21 + 11 = -10
-12w = -10

Divide each side by '-12'.
w = 0.8333333333

Simplifying
w = 0.8333333333

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