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Simplifying (13n + -16) + (6n) + (7n + 12) = 180 Reorder the terms: (-16 + 13n) + (6n) + (7n + 12) = 180 Remove parenthesis around (-16 + 13n) -16 + 13n + (6n) + (7n + 12) = 180 Reorder the terms: -16 + 13n + (6n) + (12 + 7n) = 180 Remove parenthesis around (12 + 7n) -16 + 13n + (6n) + 12 + 7n = 180 Reorder the terms: -16 + 12 + 13n + (6n) + 7n = 180 Combine like terms: -16 + 12 = -4 -4 + 13n + (6n) + 7n = 180 Combine like terms: 13n + (6n) = 19n -4 + 19n + 7n = 180 Combine like terms: 19n + 7n = 26n -4 + 26n = 180 Solving -4 + 26n = 180 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 = 180 + 4 Combine like terms: -4 + 4 = 0 0 + 26n = 180 + 4 26n = 180 + 4 Combine like terms: 180 + 4 = 184 26n = 184 Divide each side by '26'. n = 7.076923077 Simplifying n = 7.076923077
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