3(w+3)=-4(4w-4)+5w

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Solution for 3(w+3)=-4(4w-4)+5w equation:


Simplifying
3(w + 3) = -4(4w + -4) + 5w

Reorder the terms:
3(3 + w) = -4(4w + -4) + 5w
(3 * 3 + w * 3) = -4(4w + -4) + 5w
(9 + 3w) = -4(4w + -4) + 5w

Reorder the terms:
9 + 3w = -4(-4 + 4w) + 5w
9 + 3w = (-4 * -4 + 4w * -4) + 5w
9 + 3w = (16 + -16w) + 5w

Combine like terms: -16w + 5w = -11w
9 + 3w = 16 + -11w

Solving
9 + 3w = 16 + -11w

Solving for variable 'w'.

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

Add '11w' to each side of the equation.
9 + 3w + 11w = 16 + -11w + 11w

Combine like terms: 3w + 11w = 14w
9 + 14w = 16 + -11w + 11w

Combine like terms: -11w + 11w = 0
9 + 14w = 16 + 0
9 + 14w = 16

Add '-9' to each side of the equation.
9 + -9 + 14w = 16 + -9

Combine like terms: 9 + -9 = 0
0 + 14w = 16 + -9
14w = 16 + -9

Combine like terms: 16 + -9 = 7
14w = 7

Divide each side by '14'.
w = 0.5

Simplifying
w = 0.5

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