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Simplifying 5(n + -1) = 2(n + 8) Reorder the terms: 5(-1 + n) = 2(n + 8) (-1 * 5 + n * 5) = 2(n + 8) (-5 + 5n) = 2(n + 8) Reorder the terms: -5 + 5n = 2(8 + n) -5 + 5n = (8 * 2 + n * 2) -5 + 5n = (16 + 2n) Solving -5 + 5n = 16 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -5 + 5n + -2n = 16 + 2n + -2n Combine like terms: 5n + -2n = 3n -5 + 3n = 16 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + 3n = 16 + 0 -5 + 3n = 16 Add '5' to each side of the equation. -5 + 5 + 3n = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 16 + 5 3n = 16 + 5 Combine like terms: 16 + 5 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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