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Simplifying 5(-6 + -3m) = 3(8 + 7m) (-6 * 5 + -3m * 5) = 3(8 + 7m) (-30 + -15m) = 3(8 + 7m) -30 + -15m = (8 * 3 + 7m * 3) -30 + -15m = (24 + 21m) Solving -30 + -15m = 24 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. -30 + -15m + -21m = 24 + 21m + -21m Combine like terms: -15m + -21m = -36m -30 + -36m = 24 + 21m + -21m Combine like terms: 21m + -21m = 0 -30 + -36m = 24 + 0 -30 + -36m = 24 Add '30' to each side of the equation. -30 + 30 + -36m = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -36m = 24 + 30 -36m = 24 + 30 Combine like terms: 24 + 30 = 54 -36m = 54 Divide each side by '-36'. m = -1.5 Simplifying m = -1.5
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