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Simplifying 27 = -7(3 + 3m) + -3(5m + -4) 27 = (3 * -7 + 3m * -7) + -3(5m + -4) 27 = (-21 + -21m) + -3(5m + -4) Reorder the terms: 27 = -21 + -21m + -3(-4 + 5m) 27 = -21 + -21m + (-4 * -3 + 5m * -3) 27 = -21 + -21m + (12 + -15m) Reorder the terms: 27 = -21 + 12 + -21m + -15m Combine like terms: -21 + 12 = -9 27 = -9 + -21m + -15m Combine like terms: -21m + -15m = -36m 27 = -9 + -36m Solving 27 = -9 + -36m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '36m' to each side of the equation. 27 + 36m = -9 + -36m + 36m Combine like terms: -36m + 36m = 0 27 + 36m = -9 + 0 27 + 36m = -9 Add '-27' to each side of the equation. 27 + -27 + 36m = -9 + -27 Combine like terms: 27 + -27 = 0 0 + 36m = -9 + -27 36m = -9 + -27 Combine like terms: -9 + -27 = -36 36m = -36 Divide each side by '36'. m = -1 Simplifying m = -1
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