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Simplifying 5(n + -1) = 3(n + 4) Reorder the terms: 5(-1 + n) = 3(n + 4) (-1 * 5 + n * 5) = 3(n + 4) (-5 + 5n) = 3(n + 4) Reorder the terms: -5 + 5n = 3(4 + n) -5 + 5n = (4 * 3 + n * 3) -5 + 5n = (12 + 3n) Solving -5 + 5n = 12 + 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 = 12 + 3n + -3n Combine like terms: 5n + -3n = 2n -5 + 2n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 2n = 12 + 0 -5 + 2n = 12 Add '5' to each side of the equation. -5 + 5 + 2n = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 2n = 12 + 5 2n = 12 + 5 Combine like terms: 12 + 5 = 17 2n = 17 Divide each side by '2'. n = 8.5 Simplifying n = 8.5
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