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Simplifying 5(n + 3) = 3(n + -1) Reorder the terms: 5(3 + n) = 3(n + -1) (3 * 5 + n * 5) = 3(n + -1) (15 + 5n) = 3(n + -1) Reorder the terms: 15 + 5n = 3(-1 + n) 15 + 5n = (-1 * 3 + n * 3) 15 + 5n = (-3 + 3n) Solving 15 + 5n = -3 + 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. 15 + 5n + -3n = -3 + 3n + -3n Combine like terms: 5n + -3n = 2n 15 + 2n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 15 + 2n = -3 + 0 15 + 2n = -3 Add '-15' to each side of the equation. 15 + -15 + 2n = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 2n = -3 + -15 2n = -3 + -15 Combine like terms: -3 + -15 = -18 2n = -18 Divide each side by '2'. n = -9 Simplifying n = -9
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