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Simplifying (n + 2) + (2n + 2) + -1(-3n + 2) = 24 Reorder the terms: (2 + n) + (2n + 2) + -1(-3n + 2) = 24 Remove parenthesis around (2 + n) 2 + n + (2n + 2) + -1(-3n + 2) = 24 Reorder the terms: 2 + n + (2 + 2n) + -1(-3n + 2) = 24 Remove parenthesis around (2 + 2n) 2 + n + 2 + 2n + -1(-3n + 2) = 24 Reorder the terms: 2 + n + 2 + 2n + -1(2 + -3n) = 24 2 + n + 2 + 2n + (2 * -1 + -3n * -1) = 24 2 + n + 2 + 2n + (-2 + 3n) = 24 Reorder the terms: 2 + 2 + -2 + n + 2n + 3n = 24 Combine like terms: 2 + 2 = 4 4 + -2 + n + 2n + 3n = 24 Combine like terms: 4 + -2 = 2 2 + n + 2n + 3n = 24 Combine like terms: n + 2n = 3n 2 + 3n + 3n = 24 Combine like terms: 3n + 3n = 6n 2 + 6n = 24 Solving 2 + 6n = 24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6n = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 24 + -2 6n = 24 + -2 Combine like terms: 24 + -2 = 22 6n = 22 Divide each side by '6'. n = 3.666666667 Simplifying n = 3.666666667
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