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Simplifying 7 + 3m + -2 = 9m + 7 + -5m Reorder the terms: 7 + -2 + 3m = 9m + 7 + -5m Combine like terms: 7 + -2 = 5 5 + 3m = 9m + 7 + -5m Reorder the terms: 5 + 3m = 7 + 9m + -5m Combine like terms: 9m + -5m = 4m 5 + 3m = 7 + 4m Solving 5 + 3m = 7 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5 + 3m + -4m = 7 + 4m + -4m Combine like terms: 3m + -4m = -1m 5 + -1m = 7 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + -1m = 7 + 0 5 + -1m = 7 Add '-5' to each side of the equation. 5 + -5 + -1m = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 7 + -5 -1m = 7 + -5 Combine like terms: 7 + -5 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2
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