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