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Simplifying -2n + 2n = 6(1 + 6n) + 7(1 + -7n) Combine like terms: -2n + 2n = 0 0 = 6(1 + 6n) + 7(1 + -7n) 0 = (1 * 6 + 6n * 6) + 7(1 + -7n) 0 = (6 + 36n) + 7(1 + -7n) 0 = 6 + 36n + (1 * 7 + -7n * 7) 0 = 6 + 36n + (7 + -49n) Reorder the terms: 0 = 6 + 7 + 36n + -49n Combine like terms: 6 + 7 = 13 0 = 13 + 36n + -49n Combine like terms: 36n + -49n = -13n 0 = 13 + -13n Solving 0 = 13 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 0 + 13n = 13 + -13n + 13n Remove the zero: 13n = 13 + -13n + 13n Combine like terms: -13n + 13n = 0 13n = 13 + 0 13n = 13 Divide each side by '13'. n = 1 Simplifying n = 1
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