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Simplifying 3(1 + -1m) = 38 + -8m (1 * 3 + -1m * 3) = 38 + -8m (3 + -3m) = 38 + -8m Solving 3 + -3m = 38 + -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. 3 + -3m + 8m = 38 + -8m + 8m Combine like terms: -3m + 8m = 5m 3 + 5m = 38 + -8m + 8m Combine like terms: -8m + 8m = 0 3 + 5m = 38 + 0 3 + 5m = 38 Add '-3' to each side of the equation. 3 + -3 + 5m = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 38 + -3 5m = 38 + -3 Combine like terms: 38 + -3 = 35 5m = 35 Divide each side by '5'. m = 7 Simplifying m = 7
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