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Simplifying -5m + 24 + -3(m + -1) = 8m + -1(4m + -9) + -7m + 3 Reorder the terms: -5m + 24 + -3(-1 + m) = 8m + -1(4m + -9) + -7m + 3 -5m + 24 + (-1 * -3 + m * -3) = 8m + -1(4m + -9) + -7m + 3 -5m + 24 + (3 + -3m) = 8m + -1(4m + -9) + -7m + 3 Reorder the terms: 24 + 3 + -5m + -3m = 8m + -1(4m + -9) + -7m + 3 Combine like terms: 24 + 3 = 27 27 + -5m + -3m = 8m + -1(4m + -9) + -7m + 3 Combine like terms: -5m + -3m = -8m 27 + -8m = 8m + -1(4m + -9) + -7m + 3 Reorder the terms: 27 + -8m = 8m + -1(-9 + 4m) + -7m + 3 27 + -8m = 8m + (-9 * -1 + 4m * -1) + -7m + 3 27 + -8m = 8m + (9 + -4m) + -7m + 3 Reorder the terms: 27 + -8m = 9 + 3 + 8m + -4m + -7m Combine like terms: 9 + 3 = 12 27 + -8m = 12 + 8m + -4m + -7m Combine like terms: 8m + -4m = 4m 27 + -8m = 12 + 4m + -7m Combine like terms: 4m + -7m = -3m 27 + -8m = 12 + -3m Solving 27 + -8m = 12 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 27 + -8m + 3m = 12 + -3m + 3m Combine like terms: -8m + 3m = -5m 27 + -5m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 27 + -5m = 12 + 0 27 + -5m = 12 Add '-27' to each side of the equation. 27 + -27 + -5m = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5m = 12 + -27 -5m = 12 + -27 Combine like terms: 12 + -27 = -15 -5m = -15 Divide each side by '-5'. m = 3 Simplifying m = 3
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