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Simplifying (5n + -17) + (n + 12) = 0 Reorder the terms: (-17 + 5n) + (n + 12) = 0 Remove parenthesis around (-17 + 5n) -17 + 5n + (n + 12) = 0 Reorder the terms: -17 + 5n + (12 + n) = 0 Remove parenthesis around (12 + n) -17 + 5n + 12 + n = 0 Reorder the terms: -17 + 12 + 5n + n = 0 Combine like terms: -17 + 12 = -5 -5 + 5n + n = 0 Combine like terms: 5n + n = 6n -5 + 6n = 0 Solving -5 + 6n = 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 + 6n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 0 + 5 6n = 0 + 5 Combine like terms: 0 + 5 = 5 6n = 5 Divide each side by '6'. n = 0.8333333333 Simplifying n = 0.8333333333
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