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Simplifying 12(3w + -7) = 18(2w + 3) Reorder the terms: 12(-7 + 3w) = 18(2w + 3) (-7 * 12 + 3w * 12) = 18(2w + 3) (-84 + 36w) = 18(2w + 3) Reorder the terms: -84 + 36w = 18(3 + 2w) -84 + 36w = (3 * 18 + 2w * 18) -84 + 36w = (54 + 36w) Add '-36w' to each side of the equation. -84 + 36w + -36w = 54 + 36w + -36w Combine like terms: 36w + -36w = 0 -84 + 0 = 54 + 36w + -36w -84 = 54 + 36w + -36w Combine like terms: 36w + -36w = 0 -84 = 54 + 0 -84 = 54 Solving -84 = 54 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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