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