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Simplifying 2m + 7 + -1(m + -2) = 5m + -3 Reorder the terms: 2m + 7 + -1(-2 + m) = 5m + -3 2m + 7 + (-2 * -1 + m * -1) = 5m + -3 2m + 7 + (2 + -1m) = 5m + -3 Reorder the terms: 7 + 2 + 2m + -1m = 5m + -3 Combine like terms: 7 + 2 = 9 9 + 2m + -1m = 5m + -3 Combine like terms: 2m + -1m = 1m 9 + 1m = 5m + -3 Reorder the terms: 9 + 1m = -3 + 5m Solving 9 + 1m = -3 + 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. 9 + 1m + -5m = -3 + 5m + -5m Combine like terms: 1m + -5m = -4m 9 + -4m = -3 + 5m + -5m Combine like terms: 5m + -5m = 0 9 + -4m = -3 + 0 9 + -4m = -3 Add '-9' to each side of the equation. 9 + -9 + -4m = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -4m = -3 + -9 -4m = -3 + -9 Combine like terms: -3 + -9 = -12 -4m = -12 Divide each side by '-4'. m = 3 Simplifying m = 3
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