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Simplifying 9(m + 5) + -3(m + -3) = 8m + 31 Reorder the terms: 9(5 + m) + -3(m + -3) = 8m + 31 (5 * 9 + m * 9) + -3(m + -3) = 8m + 31 (45 + 9m) + -3(m + -3) = 8m + 31 Reorder the terms: 45 + 9m + -3(-3 + m) = 8m + 31 45 + 9m + (-3 * -3 + m * -3) = 8m + 31 45 + 9m + (9 + -3m) = 8m + 31 Reorder the terms: 45 + 9 + 9m + -3m = 8m + 31 Combine like terms: 45 + 9 = 54 54 + 9m + -3m = 8m + 31 Combine like terms: 9m + -3m = 6m 54 + 6m = 8m + 31 Reorder the terms: 54 + 6m = 31 + 8m Solving 54 + 6m = 31 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 54 + 6m + -8m = 31 + 8m + -8m Combine like terms: 6m + -8m = -2m 54 + -2m = 31 + 8m + -8m Combine like terms: 8m + -8m = 0 54 + -2m = 31 + 0 54 + -2m = 31 Add '-54' to each side of the equation. 54 + -54 + -2m = 31 + -54 Combine like terms: 54 + -54 = 0 0 + -2m = 31 + -54 -2m = 31 + -54 Combine like terms: 31 + -54 = -23 -2m = -23 Divide each side by '-2'. m = 11.5 Simplifying m = 11.5
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