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Simplifying 5m + 2 = 3m + 12 Reorder the terms: 2 + 5m = 3m + 12 Reorder the terms: 2 + 5m = 12 + 3m Solving 2 + 5m = 12 + 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. 2 + 5m + -3m = 12 + 3m + -3m Combine like terms: 5m + -3m = 2m 2 + 2m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + 2m = 12 + 0 2 + 2m = 12 Add '-2' to each side of the equation. 2 + -2 + 2m = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2m = 12 + -2 2m = 12 + -2 Combine like terms: 12 + -2 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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