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

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


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

Reorder the terms:
8(-4 + w) + -5w = -17
(-4 * 8 + w * 8) + -5w = -17
(-32 + 8w) + -5w = -17

Combine like terms: 8w + -5w = 3w
-32 + 3w = -17

Solving
-32 + 3w = -17

Solving for variable 'w'.

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

Add '32' to each side of the equation.
-32 + 32 + 3w = -17 + 32

Combine like terms: -32 + 32 = 0
0 + 3w = -17 + 32
3w = -17 + 32

Combine like terms: -17 + 32 = 15
3w = 15

Divide each side by '3'.
w = 5

Simplifying
w = 5

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