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Simplifying 3m + 42 = 5m + 12 Reorder the terms: 42 + 3m = 5m + 12 Reorder the terms: 42 + 3m = 12 + 5m Solving 42 + 3m = 12 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 42 + 3m + -5m = 12 + 5m + -5m Combine like terms: 3m + -5m = -2m 42 + -2m = 12 + 5m + -5m Combine like terms: 5m + -5m = 0 42 + -2m = 12 + 0 42 + -2m = 12 Add '-42' to each side of the equation. 42 + -42 + -2m = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -2m = 12 + -42 -2m = 12 + -42 Combine like terms: 12 + -42 = -30 -2m = -30 Divide each side by '-2'. m = 15 Simplifying m = 15
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