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Simplifying (7n + 12) + (13n + -16) + (6n) = 360 Reorder the terms: (12 + 7n) + (13n + -16) + (6n) = 360 Remove parenthesis around (12 + 7n) 12 + 7n + (13n + -16) + (6n) = 360 Reorder the terms: 12 + 7n + (-16 + 13n) + (6n) = 360 Remove parenthesis around (-16 + 13n) 12 + 7n + -16 + 13n + (6n) = 360 Reorder the terms: 12 + -16 + 7n + 13n + (6n) = 360 Combine like terms: 12 + -16 = -4 -4 + 7n + 13n + (6n) = 360 Combine like terms: 7n + 13n = 20n -4 + 20n + (6n) = 360 Combine like terms: 20n + (6n) = 26n -4 + 26n = 360 Solving -4 + 26n = 360 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 26n = 360 + 4 Combine like terms: -4 + 4 = 0 0 + 26n = 360 + 4 26n = 360 + 4 Combine like terms: 360 + 4 = 364 26n = 364 Divide each side by '26'. n = 14 Simplifying n = 14
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