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