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Simplifying 5m + 9 + -2m = 12 + -3m + 3 Reorder the terms: 9 + 5m + -2m = 12 + -3m + 3 Combine like terms: 5m + -2m = 3m 9 + 3m = 12 + -3m + 3 Reorder the terms: 9 + 3m = 12 + 3 + -3m Combine like terms: 12 + 3 = 15 9 + 3m = 15 + -3m Solving 9 + 3m = 15 + -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. 9 + 3m + 3m = 15 + -3m + 3m Combine like terms: 3m + 3m = 6m 9 + 6m = 15 + -3m + 3m Combine like terms: -3m + 3m = 0 9 + 6m = 15 + 0 9 + 6m = 15 Add '-9' to each side of the equation. 9 + -9 + 6m = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 6m = 15 + -9 6m = 15 + -9 Combine like terms: 15 + -9 = 6 6m = 6 Divide each side by '6'. m = 1 Simplifying m = 1
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