12-3(2w+1)=8w-3(8+w)

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Solution for 12-3(2w+1)=8w-3(8+w) equation:


Simplifying
12 + -3(2w + 1) = 8w + -3(8 + w)

Reorder the terms:
12 + -3(1 + 2w) = 8w + -3(8 + w)
12 + (1 * -3 + 2w * -3) = 8w + -3(8 + w)
12 + (-3 + -6w) = 8w + -3(8 + w)

Combine like terms: 12 + -3 = 9
9 + -6w = 8w + -3(8 + w)
9 + -6w = 8w + (8 * -3 + w * -3)
9 + -6w = 8w + (-24 + -3w)

Reorder the terms:
9 + -6w = -24 + 8w + -3w

Combine like terms: 8w + -3w = 5w
9 + -6w = -24 + 5w

Solving
9 + -6w = -24 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
9 + -6w + -5w = -24 + 5w + -5w

Combine like terms: -6w + -5w = -11w
9 + -11w = -24 + 5w + -5w

Combine like terms: 5w + -5w = 0
9 + -11w = -24 + 0
9 + -11w = -24

Add '-9' to each side of the equation.
9 + -9 + -11w = -24 + -9

Combine like terms: 9 + -9 = 0
0 + -11w = -24 + -9
-11w = -24 + -9

Combine like terms: -24 + -9 = -33
-11w = -33

Divide each side by '-11'.
w = 3

Simplifying
w = 3

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