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Simplifying 3n + 6n = -3(n + -2) + 3(3n + 7) Combine like terms: 3n + 6n = 9n 9n = -3(n + -2) + 3(3n + 7) Reorder the terms: 9n = -3(-2 + n) + 3(3n + 7) 9n = (-2 * -3 + n * -3) + 3(3n + 7) 9n = (6 + -3n) + 3(3n + 7) Reorder the terms: 9n = 6 + -3n + 3(7 + 3n) 9n = 6 + -3n + (7 * 3 + 3n * 3) 9n = 6 + -3n + (21 + 9n) Reorder the terms: 9n = 6 + 21 + -3n + 9n Combine like terms: 6 + 21 = 27 9n = 27 + -3n + 9n Combine like terms: -3n + 9n = 6n 9n = 27 + 6n Solving 9n = 27 + 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. 9n + -6n = 27 + 6n + -6n Combine like terms: 9n + -6n = 3n 3n = 27 + 6n + -6n Combine like terms: 6n + -6n = 0 3n = 27 + 0 3n = 27 Divide each side by '3'. n = 9 Simplifying n = 9
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