3w+17=-2(w-1)

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Solution for 3w+17=-2(w-1) equation: 


Simplifying
3w + 17 = -2(w + -1)

Reorder the terms:
17 + 3w = -2(w + -1)

Reorder the terms:
17 + 3w = -2(-1 + w)
17 + 3w = (-1 * -2 + w * -2)
17 + 3w = (2 + -2w)

Solving
17 + 3w = 2 + -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 + 3w + 2w = 2 + -2w + 2w

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

Combine like terms: -2w + 2w = 0
17 + 5w = 2 + 0
17 + 5w = 2

Add '-17' to each side of the equation.
17 + -17 + 5w = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 5w = 2 + -17
5w = 2 + -17

Combine like terms: 2 + -17 = -15
5w = -15

Divide each side by '5'.
w = -3

Simplifying
w = -3

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