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Simplifying 2(3n + 2) + 7n = 39 + 6n Reorder the terms: 2(2 + 3n) + 7n = 39 + 6n (2 * 2 + 3n * 2) + 7n = 39 + 6n (4 + 6n) + 7n = 39 + 6n Combine like terms: 6n + 7n = 13n 4 + 13n = 39 + 6n Solving 4 + 13n = 39 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 4 + 13n + -6n = 39 + 6n + -6n Combine like terms: 13n + -6n = 7n 4 + 7n = 39 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + 7n = 39 + 0 4 + 7n = 39 Add '-4' to each side of the equation. 4 + -4 + 7n = 39 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 39 + -4 7n = 39 + -4 Combine like terms: 39 + -4 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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