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Simplifying 5(1 + 3m) + -8m = 31 + m (1 * 5 + 3m * 5) + -8m = 31 + m (5 + 15m) + -8m = 31 + m Combine like terms: 15m + -8m = 7m 5 + 7m = 31 + m Solving 5 + 7m = 31 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 5 + 7m + -1m = 31 + m + -1m Combine like terms: 7m + -1m = 6m 5 + 6m = 31 + m + -1m Combine like terms: m + -1m = 0 5 + 6m = 31 + 0 5 + 6m = 31 Add '-5' to each side of the equation. 5 + -5 + 6m = 31 + -5 Combine like terms: 5 + -5 = 0 0 + 6m = 31 + -5 6m = 31 + -5 Combine like terms: 31 + -5 = 26 6m = 26 Divide each side by '6'. m = 4.333333333 Simplifying m = 4.333333333
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