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Simplifying 8(2n + -2) = (3n + 5) + 8 Reorder the terms: 8(-2 + 2n) = (3n + 5) + 8 (-2 * 8 + 2n * 8) = (3n + 5) + 8 (-16 + 16n) = (3n + 5) + 8 Reorder the terms: -16 + 16n = (5 + 3n) + 8 Remove parenthesis around (5 + 3n) -16 + 16n = 5 + 3n + 8 Reorder the terms: -16 + 16n = 5 + 8 + 3n Combine like terms: 5 + 8 = 13 -16 + 16n = 13 + 3n Solving -16 + 16n = 13 + 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. -16 + 16n + -3n = 13 + 3n + -3n Combine like terms: 16n + -3n = 13n -16 + 13n = 13 + 3n + -3n Combine like terms: 3n + -3n = 0 -16 + 13n = 13 + 0 -16 + 13n = 13 Add '16' to each side of the equation. -16 + 16 + 13n = 13 + 16 Combine like terms: -16 + 16 = 0 0 + 13n = 13 + 16 13n = 13 + 16 Combine like terms: 13 + 16 = 29 13n = 29 Divide each side by '13'. n = 2.230769231 Simplifying n = 2.230769231
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