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Simplifying (n + 5n + 13) + (2n + -3n + -8) = 0 Reorder the terms: (13 + n + 5n) + (2n + -3n + -8) = 0 Combine like terms: n + 5n = 6n (13 + 6n) + (2n + -3n + -8) = 0 Remove parenthesis around (13 + 6n) 13 + 6n + (2n + -3n + -8) = 0 Reorder the terms: 13 + 6n + (-8 + 2n + -3n) = 0 Combine like terms: 2n + -3n = -1n 13 + 6n + (-8 + -1n) = 0 Remove parenthesis around (-8 + -1n) 13 + 6n + -8 + -1n = 0 Reorder the terms: 13 + -8 + 6n + -1n = 0 Combine like terms: 13 + -8 = 5 5 + 6n + -1n = 0 Combine like terms: 6n + -1n = 5n 5 + 5n = 0 Solving 5 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5n = 0 + -5 5n = 0 + -5 Combine like terms: 0 + -5 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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