12-3(2w+1)=9w-3(9+3)

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Solution for 12-3(2w+1)=9w-3(9+3) equation: 


Simplifying
12 + -3(2w + 1) = 9w + -3(9 + 3)

Reorder the terms:
12 + -3(1 + 2w) = 9w + -3(9 + 3)
12 + (1 * -3 + 2w * -3) = 9w + -3(9 + 3)
12 + (-3 + -6w) = 9w + -3(9 + 3)

Combine like terms: 12 + -3 = 9
9 + -6w = 9w + -3(9 + 3)

Combine like terms: 9 + 3 = 12
9 + -6w = 9w + -3(12)

Multiply -3 * 12
9 + -6w = 9w + -36

Reorder the terms:
9 + -6w = -36 + 9w

Solving
9 + -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.
9 + -6w + -9w = -36 + 9w + -9w

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

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

Add '-9' to each side of the equation.
9 + -9 + -15w = -36 + -9

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

Combine like terms: -36 + -9 = -45
-15w = -45

Divide each side by '-15'.
w = 3

Simplifying
w = 3

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