-17=-8w+5(w+7)

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Solution for -17=-8w+5(w+7) equation:


Simplifying
-17 = -8w + 5(w + 7)

Reorder the terms:
-17 = -8w + 5(7 + w)
-17 = -8w + (7 * 5 + w * 5)
-17 = -8w + (35 + 5w)

Reorder the terms:
-17 = 35 + -8w + 5w

Combine like terms: -8w + 5w = -3w
-17 = 35 + -3w

Solving
-17 = 35 + -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 = 35 + -3w + 3w

Combine like terms: -3w + 3w = 0
-17 + 3w = 35 + 0
-17 + 3w = 35

Add '17' to each side of the equation.
-17 + 17 + 3w = 35 + 17

Combine like terms: -17 + 17 = 0
0 + 3w = 35 + 17
3w = 35 + 17

Combine like terms: 35 + 17 = 52
3w = 52

Divide each side by '3'.
w = 17.33333333

Simplifying
w = 17.33333333

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