12-6(w-3)=-3(-5-3w)+21

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Solution for 12-6(w-3)=-3(-5-3w)+21 equation: 


Simplifying
12 + -6(w + -3) = -3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = -3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = -3(-5 + -3w) + 21
12 + (18 + -6w) = -3(-5 + -3w) + 21

Combine like terms: 12 + 18 = 30
30 + -6w = -3(-5 + -3w) + 21
30 + -6w = (-5 * -3 + -3w * -3) + 21
30 + -6w = (15 + 9w) + 21

Reorder the terms:
30 + -6w = 15 + 21 + 9w

Combine like terms: 15 + 21 = 36
30 + -6w = 36 + 9w

Solving
30 + -6w = 36 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
30 + -6w + -9w = 36 + 9w + -9w

Combine like terms: -6w + -9w = -15w
30 + -15w = 36 + 9w + -9w

Combine like terms: 9w + -9w = 0
30 + -15w = 36 + 0
30 + -15w = 36

Add '-30' to each side of the equation.
30 + -30 + -15w = 36 + -30

Combine like terms: 30 + -30 = 0
0 + -15w = 36 + -30
-15w = 36 + -30

Combine like terms: 36 + -30 = 6
-15w = 6

Divide each side by '-15'.
w = -0.4

Simplifying
w = -0.4

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