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Simplifying 5(n + 12) + -8 = 2n Reorder the terms: 5(12 + n) + -8 = 2n (12 * 5 + n * 5) + -8 = 2n (60 + 5n) + -8 = 2n Reorder the terms: 60 + -8 + 5n = 2n Combine like terms: 60 + -8 = 52 52 + 5n = 2n Solving 52 + 5n = 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. 52 + 5n + -2n = 2n + -2n Combine like terms: 5n + -2n = 3n 52 + 3n = 2n + -2n Combine like terms: 2n + -2n = 0 52 + 3n = 0 Add '-52' to each side of the equation. 52 + -52 + 3n = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 3n = 0 + -52 3n = 0 + -52 Combine like terms: 0 + -52 = -52 3n = -52 Divide each side by '3'. n = -17.33333333 Simplifying n = -17.33333333
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