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Simplifying 12(2w + -9) = 6(4w + 7) Reorder the terms: 12(-9 + 2w) = 6(4w + 7) (-9 * 12 + 2w * 12) = 6(4w + 7) (-108 + 24w) = 6(4w + 7) Reorder the terms: -108 + 24w = 6(7 + 4w) -108 + 24w = (7 * 6 + 4w * 6) -108 + 24w = (42 + 24w) Add '-24w' to each side of the equation. -108 + 24w + -24w = 42 + 24w + -24w Combine like terms: 24w + -24w = 0 -108 + 0 = 42 + 24w + -24w -108 = 42 + 24w + -24w Combine like terms: 24w + -24w = 0 -108 = 42 + 0 -108 = 42 Solving -108 = 42 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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