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Simplifying 5m + 1 = 3m + 7 Reorder the terms: 1 + 5m = 3m + 7 Reorder the terms: 1 + 5m = 7 + 3m Solving 1 + 5m = 7 + 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. 1 + 5m + -3m = 7 + 3m + -3m Combine like terms: 5m + -3m = 2m 1 + 2m = 7 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 2m = 7 + 0 1 + 2m = 7 Add '-1' to each side of the equation. 1 + -1 + 2m = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 7 + -1 2m = 7 + -1 Combine like terms: 7 + -1 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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