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Simplifying 5(n + -1) = 9 + 3n Reorder the terms: 5(-1 + n) = 9 + 3n (-1 * 5 + n * 5) = 9 + 3n (-5 + 5n) = 9 + 3n Solving -5 + 5n = 9 + 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. -5 + 5n + -3n = 9 + 3n + -3n Combine like terms: 5n + -3n = 2n -5 + 2n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 2n = 9 + 0 -5 + 2n = 9 Add '5' to each side of the equation. -5 + 5 + 2n = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 9 + 5 2n = 9 + 5 Combine like terms: 9 + 5 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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