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