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Simplifying 5m + 12 = 3m + 10 Reorder the terms: 12 + 5m = 3m + 10 Reorder the terms: 12 + 5m = 10 + 3m Solving 12 + 5m = 10 + 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. 12 + 5m + -3m = 10 + 3m + -3m Combine like terms: 5m + -3m = 2m 12 + 2m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + 2m = 10 + 0 12 + 2m = 10 Add '-12' to each side of the equation. 12 + -12 + 2m = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 2m = 10 + -12 2m = 10 + -12 Combine like terms: 10 + -12 = -2 2m = -2 Divide each side by '2'. m = -1 Simplifying m = -1
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