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Simplifying 5n + 9 = 3(n + -5) + 7 Reorder the terms: 9 + 5n = 3(n + -5) + 7 Reorder the terms: 9 + 5n = 3(-5 + n) + 7 9 + 5n = (-5 * 3 + n * 3) + 7 9 + 5n = (-15 + 3n) + 7 Reorder the terms: 9 + 5n = -15 + 7 + 3n Combine like terms: -15 + 7 = -8 9 + 5n = -8 + 3n Solving 9 + 5n = -8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 9 + 5n + -3n = -8 + 3n + -3n Combine like terms: 5n + -3n = 2n 9 + 2n = -8 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + 2n = -8 + 0 9 + 2n = -8 Add '-9' to each side of the equation. 9 + -9 + 2n = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = -8 + -9 2n = -8 + -9 Combine like terms: -8 + -9 = -17 2n = -17 Divide each side by '2'. n = -8.5 Simplifying n = -8.5
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