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Simplifying 5(2m + 1) + -2 = 3m + 10 Reorder the terms: 5(1 + 2m) + -2 = 3m + 10 (1 * 5 + 2m * 5) + -2 = 3m + 10 (5 + 10m) + -2 = 3m + 10 Reorder the terms: 5 + -2 + 10m = 3m + 10 Combine like terms: 5 + -2 = 3 3 + 10m = 3m + 10 Reorder the terms: 3 + 10m = 10 + 3m Solving 3 + 10m = 10 + 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. 3 + 10m + -3m = 10 + 3m + -3m Combine like terms: 10m + -3m = 7m 3 + 7m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + 7m = 10 + 0 3 + 7m = 10 Add '-3' to each side of the equation. 3 + -3 + 7m = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7m = 10 + -3 7m = 10 + -3 Combine like terms: 10 + -3 = 7 7m = 7 Divide each side by '7'. m = 1 Simplifying m = 1
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