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Simplifying 3m + -2(7 + -1m) = 5(2m + 1) 3m + (7 * -2 + -1m * -2) = 5(2m + 1) 3m + (-14 + 2m) = 5(2m + 1) Reorder the terms: -14 + 3m + 2m = 5(2m + 1) Combine like terms: 3m + 2m = 5m -14 + 5m = 5(2m + 1) Reorder the terms: -14 + 5m = 5(1 + 2m) -14 + 5m = (1 * 5 + 2m * 5) -14 + 5m = (5 + 10m) Solving -14 + 5m = 5 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -14 + 5m + -10m = 5 + 10m + -10m Combine like terms: 5m + -10m = -5m -14 + -5m = 5 + 10m + -10m Combine like terms: 10m + -10m = 0 -14 + -5m = 5 + 0 -14 + -5m = 5 Add '14' to each side of the equation. -14 + 14 + -5m = 5 + 14 Combine like terms: -14 + 14 = 0 0 + -5m = 5 + 14 -5m = 5 + 14 Combine like terms: 5 + 14 = 19 -5m = 19 Divide each side by '-5'. m = -3.8 Simplifying m = -3.8
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