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Simplifying 13n + 5 + 2n = 174 + 2n Reorder the terms: 5 + 13n + 2n = 174 + 2n Combine like terms: 13n + 2n = 15n 5 + 15n = 174 + 2n Solving 5 + 15n = 174 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + 15n + -2n = 174 + 2n + -2n Combine like terms: 15n + -2n = 13n 5 + 13n = 174 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 13n = 174 + 0 5 + 13n = 174 Add '-5' to each side of the equation. 5 + -5 + 13n = 174 + -5 Combine like terms: 5 + -5 = 0 0 + 13n = 174 + -5 13n = 174 + -5 Combine like terms: 174 + -5 = 169 13n = 169 Divide each side by '13'. n = 13 Simplifying n = 13
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