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Simplifying 3(2n + 1) = 3n + -9 Reorder the terms: 3(1 + 2n) = 3n + -9 (1 * 3 + 2n * 3) = 3n + -9 (3 + 6n) = 3n + -9 Reorder the terms: 3 + 6n = -9 + 3n Solving 3 + 6n = -9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 3 + 6n + -3n = -9 + 3n + -3n Combine like terms: 6n + -3n = 3n 3 + 3n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 3 + 3n = -9 + 0 3 + 3n = -9 Add '-3' to each side of the equation. 3 + -3 + 3n = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = -9 + -3 3n = -9 + -3 Combine like terms: -9 + -3 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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