17=3(w+7)-5w

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Solution for 17=3(w+7)-5w equation:


Simplifying
17 = 3(w + 7) + -5w

Reorder the terms:
17 = 3(7 + w) + -5w
17 = (7 * 3 + w * 3) + -5w
17 = (21 + 3w) + -5w

Combine like terms: 3w + -5w = -2w
17 = 21 + -2w

Solving
17 = 21 + -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 = 21 + -2w + 2w

Combine like terms: -2w + 2w = 0
17 + 2w = 21 + 0
17 + 2w = 21

Add '-17' to each side of the equation.
17 + -17 + 2w = 21 + -17

Combine like terms: 17 + -17 = 0
0 + 2w = 21 + -17
2w = 21 + -17

Combine like terms: 21 + -17 = 4
2w = 4

Divide each side by '2'.
w = 2

Simplifying
w = 2

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