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Simplifying 8(m + 5) + -3(3 + -8m) = 31(m + 1) + -9 Reorder the terms: 8(5 + m) + -3(3 + -8m) = 31(m + 1) + -9 (5 * 8 + m * 8) + -3(3 + -8m) = 31(m + 1) + -9 (40 + 8m) + -3(3 + -8m) = 31(m + 1) + -9 40 + 8m + (3 * -3 + -8m * -3) = 31(m + 1) + -9 40 + 8m + (-9 + 24m) = 31(m + 1) + -9 Reorder the terms: 40 + -9 + 8m + 24m = 31(m + 1) + -9 Combine like terms: 40 + -9 = 31 31 + 8m + 24m = 31(m + 1) + -9 Combine like terms: 8m + 24m = 32m 31 + 32m = 31(m + 1) + -9 Reorder the terms: 31 + 32m = 31(1 + m) + -9 31 + 32m = (1 * 31 + m * 31) + -9 31 + 32m = (31 + 31m) + -9 Reorder the terms: 31 + 32m = 31 + -9 + 31m Combine like terms: 31 + -9 = 22 31 + 32m = 22 + 31m Solving 31 + 32m = 22 + 31m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31m' to each side of the equation. 31 + 32m + -31m = 22 + 31m + -31m Combine like terms: 32m + -31m = 1m 31 + 1m = 22 + 31m + -31m Combine like terms: 31m + -31m = 0 31 + 1m = 22 + 0 31 + 1m = 22 Add '-31' to each side of the equation. 31 + -31 + 1m = 22 + -31 Combine like terms: 31 + -31 = 0 0 + 1m = 22 + -31 1m = 22 + -31 Combine like terms: 22 + -31 = -9 1m = -9 Divide each side by '1'. m = -9 Simplifying m = -9
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