-3(5w-5)+9w=3(w+3)

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Solution for -3(5w-5)+9w=3(w+3) equation: 


Simplifying
-3(5w + -5) + 9w = 3(w + 3)

Reorder the terms:
-3(-5 + 5w) + 9w = 3(w + 3)
(-5 * -3 + 5w * -3) + 9w = 3(w + 3)
(15 + -15w) + 9w = 3(w + 3)

Combine like terms: -15w + 9w = -6w
15 + -6w = 3(w + 3)

Reorder the terms:
15 + -6w = 3(3 + w)
15 + -6w = (3 * 3 + w * 3)
15 + -6w = (9 + 3w)

Solving
15 + -6w = 9 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
15 + -6w + -3w = 9 + 3w + -3w

Combine like terms: -6w + -3w = -9w
15 + -9w = 9 + 3w + -3w

Combine like terms: 3w + -3w = 0
15 + -9w = 9 + 0
15 + -9w = 9

Add '-15' to each side of the equation.
15 + -15 + -9w = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -9w = 9 + -15
-9w = 9 + -15

Combine like terms: 9 + -15 = -6
-9w = -6

Divide each side by '-9'.
w = 0.6666666667

Simplifying
w = 0.6666666667

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