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