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Simplifying 8(3w + -6) = 12(2w + 7) Reorder the terms: 8(-6 + 3w) = 12(2w + 7) (-6 * 8 + 3w * 8) = 12(2w + 7) (-48 + 24w) = 12(2w + 7) Reorder the terms: -48 + 24w = 12(7 + 2w) -48 + 24w = (7 * 12 + 2w * 12) -48 + 24w = (84 + 24w) Add '-24w' to each side of the equation. -48 + 24w + -24w = 84 + 24w + -24w Combine like terms: 24w + -24w = 0 -48 + 0 = 84 + 24w + -24w -48 = 84 + 24w + -24w Combine like terms: 24w + -24w = 0 -48 = 84 + 0 -48 = 84 Solving -48 = 84 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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