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Simplifying 5m + 9 = (3m + -5) + 7 Reorder the terms: 9 + 5m = (3m + -5) + 7 Reorder the terms: 9 + 5m = (-5 + 3m) + 7 Remove parenthesis around (-5 + 3m) 9 + 5m = -5 + 3m + 7 Reorder the terms: 9 + 5m = -5 + 7 + 3m Combine like terms: -5 + 7 = 2 9 + 5m = 2 + 3m Solving 9 + 5m = 2 + 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. 9 + 5m + -3m = 2 + 3m + -3m Combine like terms: 5m + -3m = 2m 9 + 2m = 2 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + 2m = 2 + 0 9 + 2m = 2 Add '-9' to each side of the equation. 9 + -9 + 2m = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = 2 + -9 2m = 2 + -9 Combine like terms: 2 + -9 = -7 2m = -7 Divide each side by '2'. m = -3.5 Simplifying m = -3.5
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