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Simplifying 5m + 9 = 2m + 30 Reorder the terms: 9 + 5m = 2m + 30 Reorder the terms: 9 + 5m = 30 + 2m Solving 9 + 5m = 30 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 9 + 5m + -2m = 30 + 2m + -2m Combine like terms: 5m + -2m = 3m 9 + 3m = 30 + 2m + -2m Combine like terms: 2m + -2m = 0 9 + 3m = 30 + 0 9 + 3m = 30 Add '-9' to each side of the equation. 9 + -9 + 3m = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 3m = 30 + -9 3m = 30 + -9 Combine like terms: 30 + -9 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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