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Simplifying 3(1 + 3m) = 7 + 5m (1 * 3 + 3m * 3) = 7 + 5m (3 + 9m) = 7 + 5m Solving 3 + 9m = 7 + 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. 3 + 9m + -5m = 7 + 5m + -5m Combine like terms: 9m + -5m = 4m 3 + 4m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + 4m = 7 + 0 3 + 4m = 7 Add '-3' to each side of the equation. 3 + -3 + 4m = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 7 + -3 4m = 7 + -3 Combine like terms: 7 + -3 = 4 4m = 4 Divide each side by '4'. m = 1 Simplifying m = 1
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