-17=5(w-4)-8w

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Solution for -17=5(w-4)-8w equation:


Simplifying
-17 = 5(w + -4) + -8w

Reorder the terms:
-17 = 5(-4 + w) + -8w
-17 = (-4 * 5 + w * 5) + -8w
-17 = (-20 + 5w) + -8w

Combine like terms: 5w + -8w = -3w
-17 = -20 + -3w

Solving
-17 = -20 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-17 + 3w = -20 + -3w + 3w

Combine like terms: -3w + 3w = 0
-17 + 3w = -20 + 0
-17 + 3w = -20

Add '17' to each side of the equation.
-17 + 17 + 3w = -20 + 17

Combine like terms: -17 + 17 = 0
0 + 3w = -20 + 17
3w = -20 + 17

Combine like terms: -20 + 17 = -3
3w = -3

Divide each side by '3'.
w = -1

Simplifying
w = -1

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