5(w-1)=w+7-2(-8w-3)

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Solution for 5(w-1)=w+7-2(-8w-3) equation:


Simplifying
5(w + -1) = w + 7 + -2(-8w + -3)

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

Reorder the terms:
-5 + 5w = w + 7 + -2(-3 + -8w)
-5 + 5w = w + 7 + (-3 * -2 + -8w * -2)
-5 + 5w = w + 7 + (6 + 16w)

Reorder the terms:
-5 + 5w = 7 + 6 + w + 16w

Combine like terms: 7 + 6 = 13
-5 + 5w = 13 + w + 16w

Combine like terms: w + 16w = 17w
-5 + 5w = 13 + 17w

Solving
-5 + 5w = 13 + 17w

Solving for variable 'w'.

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

Add '-17w' to each side of the equation.
-5 + 5w + -17w = 13 + 17w + -17w

Combine like terms: 5w + -17w = -12w
-5 + -12w = 13 + 17w + -17w

Combine like terms: 17w + -17w = 0
-5 + -12w = 13 + 0
-5 + -12w = 13

Add '5' to each side of the equation.
-5 + 5 + -12w = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -12w = 13 + 5
-12w = 13 + 5

Combine like terms: 13 + 5 = 18
-12w = 18

Divide each side by '-12'.
w = -1.5

Simplifying
w = -1.5

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