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Simplifying 9 + 5m = 3(-5 + m) + 7 9 + 5m = (-5 * 3 + m * 3) + 7 9 + 5m = (-15 + 3m) + 7 Reorder the terms: 9 + 5m = -15 + 7 + 3m Combine like terms: -15 + 7 = -8 9 + 5m = -8 + 3m Solving 9 + 5m = -8 + 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 = -8 + 3m + -3m Combine like terms: 5m + -3m = 2m 9 + 2m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + 2m = -8 + 0 9 + 2m = -8 Add '-9' to each side of the equation. 9 + -9 + 2m = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = -8 + -9 2m = -8 + -9 Combine like terms: -8 + -9 = -17 2m = -17 Divide each side by '2'. m = -8.5 Simplifying m = -8.5
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