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