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Simplifying 3(4n + 1) + -9n = 6(2 + -1n) Reorder the terms: 3(1 + 4n) + -9n = 6(2 + -1n) (1 * 3 + 4n * 3) + -9n = 6(2 + -1n) (3 + 12n) + -9n = 6(2 + -1n) Combine like terms: 12n + -9n = 3n 3 + 3n = 6(2 + -1n) 3 + 3n = (2 * 6 + -1n * 6) 3 + 3n = (12 + -6n) Solving 3 + 3n = 12 + -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. 3 + 3n + 6n = 12 + -6n + 6n Combine like terms: 3n + 6n = 9n 3 + 9n = 12 + -6n + 6n Combine like terms: -6n + 6n = 0 3 + 9n = 12 + 0 3 + 9n = 12 Add '-3' to each side of the equation. 3 + -3 + 9n = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9n = 12 + -3 9n = 12 + -3 Combine like terms: 12 + -3 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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