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Simplifying 7 + 5m = 5m + 2 + -2m + 9 Reorder the terms: 7 + 5m = 2 + 9 + 5m + -2m Combine like terms: 2 + 9 = 11 7 + 5m = 11 + 5m + -2m Combine like terms: 5m + -2m = 3m 7 + 5m = 11 + 3m Solving 7 + 5m = 11 + 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. 7 + 5m + -3m = 11 + 3m + -3m Combine like terms: 5m + -3m = 2m 7 + 2m = 11 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + 2m = 11 + 0 7 + 2m = 11 Add '-7' to each side of the equation. 7 + -7 + 2m = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 2m = 11 + -7 2m = 11 + -7 Combine like terms: 11 + -7 = 4 2m = 4 Divide each side by '2'. m = 2 Simplifying m = 2
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