17=5(w+5)-3w

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Solution for 17=5(w+5)-3w equation:


Simplifying
17 = 5(w + 5) + -3w

Reorder the terms:
17 = 5(5 + w) + -3w
17 = (5 * 5 + w * 5) + -3w
17 = (25 + 5w) + -3w

Combine like terms: 5w + -3w = 2w
17 = 25 + 2w

Solving
17 = 25 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
17 + -2w = 25 + 2w + -2w

Combine like terms: 2w + -2w = 0
17 + -2w = 25 + 0
17 + -2w = 25

Add '-17' to each side of the equation.
17 + -17 + -2w = 25 + -17

Combine like terms: 17 + -17 = 0
0 + -2w = 25 + -17
-2w = 25 + -17

Combine like terms: 25 + -17 = 8
-2w = 8

Divide each side by '-2'.
w = -4

Simplifying
w = -4

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