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Simplifying 5 + 4m + -2 = 9m + 6 + -4m Reorder the terms: 5 + -2 + 4m = 9m + 6 + -4m Combine like terms: 5 + -2 = 3 3 + 4m = 9m + 6 + -4m Reorder the terms: 3 + 4m = 6 + 9m + -4m Combine like terms: 9m + -4m = 5m 3 + 4m = 6 + 5m Solving 3 + 4m = 6 + 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. 3 + 4m + -5m = 6 + 5m + -5m Combine like terms: 4m + -5m = -1m 3 + -1m = 6 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + -1m = 6 + 0 3 + -1m = 6 Add '-3' to each side of the equation. 3 + -3 + -1m = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 6 + -3 -1m = 6 + -3 Combine like terms: 6 + -3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3
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