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Simplifying 6 + -8(m + -5) = -5m + 31 Reorder the terms: 6 + -8(-5 + m) = -5m + 31 6 + (-5 * -8 + m * -8) = -5m + 31 6 + (40 + -8m) = -5m + 31 Combine like terms: 6 + 40 = 46 46 + -8m = -5m + 31 Reorder the terms: 46 + -8m = 31 + -5m Solving 46 + -8m = 31 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 46 + -8m + 5m = 31 + -5m + 5m Combine like terms: -8m + 5m = -3m 46 + -3m = 31 + -5m + 5m Combine like terms: -5m + 5m = 0 46 + -3m = 31 + 0 46 + -3m = 31 Add '-46' to each side of the equation. 46 + -46 + -3m = 31 + -46 Combine like terms: 46 + -46 = 0 0 + -3m = 31 + -46 -3m = 31 + -46 Combine like terms: 31 + -46 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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