3(3-w)+8=-8(w-2)-2

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Solution for 3(3-w)+8=-8(w-2)-2 equation:


Simplifying
3(3 + -1w) + 8 = -8(w + -2) + -2
(3 * 3 + -1w * 3) + 8 = -8(w + -2) + -2
(9 + -3w) + 8 = -8(w + -2) + -2

Reorder the terms:
9 + 8 + -3w = -8(w + -2) + -2

Combine like terms: 9 + 8 = 17
17 + -3w = -8(w + -2) + -2

Reorder the terms:
17 + -3w = -8(-2 + w) + -2
17 + -3w = (-2 * -8 + w * -8) + -2
17 + -3w = (16 + -8w) + -2

Reorder the terms:
17 + -3w = 16 + -2 + -8w

Combine like terms: 16 + -2 = 14
17 + -3w = 14 + -8w

Solving
17 + -3w = 14 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
17 + -3w + 8w = 14 + -8w + 8w

Combine like terms: -3w + 8w = 5w
17 + 5w = 14 + -8w + 8w

Combine like terms: -8w + 8w = 0
17 + 5w = 14 + 0
17 + 5w = 14

Add '-17' to each side of the equation.
17 + -17 + 5w = 14 + -17

Combine like terms: 17 + -17 = 0
0 + 5w = 14 + -17
5w = 14 + -17

Combine like terms: 14 + -17 = -3
5w = -3

Divide each side by '5'.
w = -0.6

Simplifying
w = -0.6

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