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Simplifying 2m + 7 = 5m + -14 Reorder the terms: 7 + 2m = 5m + -14 Reorder the terms: 7 + 2m = -14 + 5m Solving 7 + 2m = -14 + 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. 7 + 2m + -5m = -14 + 5m + -5m Combine like terms: 2m + -5m = -3m 7 + -3m = -14 + 5m + -5m Combine like terms: 5m + -5m = 0 7 + -3m = -14 + 0 7 + -3m = -14 Add '-7' to each side of the equation. 7 + -7 + -3m = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = -14 + -7 -3m = -14 + -7 Combine like terms: -14 + -7 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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