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Simplifying n + (n + 8) = 3(n + 6) + -1 Reorder the terms: n + (8 + n) = 3(n + 6) + -1 Remove parenthesis around (8 + n) n + 8 + n = 3(n + 6) + -1 Reorder the terms: 8 + n + n = 3(n + 6) + -1 Combine like terms: n + n = 2n 8 + 2n = 3(n + 6) + -1 Reorder the terms: 8 + 2n = 3(6 + n) + -1 8 + 2n = (6 * 3 + n * 3) + -1 8 + 2n = (18 + 3n) + -1 Reorder the terms: 8 + 2n = 18 + -1 + 3n Combine like terms: 18 + -1 = 17 8 + 2n = 17 + 3n Solving 8 + 2n = 17 + 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. 8 + 2n + -3n = 17 + 3n + -3n Combine like terms: 2n + -3n = -1n 8 + -1n = 17 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -1n = 17 + 0 8 + -1n = 17 Add '-8' to each side of the equation. 8 + -8 + -1n = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 17 + -8 -1n = 17 + -8 Combine like terms: 17 + -8 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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