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Simplifying 5(1 + 5m) = 7m + -31 (1 * 5 + 5m * 5) = 7m + -31 (5 + 25m) = 7m + -31 Reorder the terms: 5 + 25m = -31 + 7m Solving 5 + 25m = -31 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 5 + 25m + -7m = -31 + 7m + -7m Combine like terms: 25m + -7m = 18m 5 + 18m = -31 + 7m + -7m Combine like terms: 7m + -7m = 0 5 + 18m = -31 + 0 5 + 18m = -31 Add '-5' to each side of the equation. 5 + -5 + 18m = -31 + -5 Combine like terms: 5 + -5 = 0 0 + 18m = -31 + -5 18m = -31 + -5 Combine like terms: -31 + -5 = -36 18m = -36 Divide each side by '18'. m = -2 Simplifying m = -2
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