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Simplifying 5(2m + 3) = 3m + 1 Reorder the terms: 5(3 + 2m) = 3m + 1 (3 * 5 + 2m * 5) = 3m + 1 (15 + 10m) = 3m + 1 Reorder the terms: 15 + 10m = 1 + 3m Solving 15 + 10m = 1 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 15 + 10m + -3m = 1 + 3m + -3m Combine like terms: 10m + -3m = 7m 15 + 7m = 1 + 3m + -3m Combine like terms: 3m + -3m = 0 15 + 7m = 1 + 0 15 + 7m = 1 Add '-15' to each side of the equation. 15 + -15 + 7m = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7m = 1 + -15 7m = 1 + -15 Combine like terms: 1 + -15 = -14 7m = -14 Divide each side by '7'. m = -2 Simplifying m = -2
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