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Simplifying 2(1 + 3n) = 12n (1 * 2 + 3n * 2) = 12n (2 + 6n) = 12n Solving 2 + 6n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 2 + 6n + -12n = 12n + -12n Combine like terms: 6n + -12n = -6n 2 + -6n = 12n + -12n Combine like terms: 12n + -12n = 0 2 + -6n = 0 Add '-2' to each side of the equation. 2 + -2 + -6n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6n = 0 + -2 -6n = 0 + -2 Combine like terms: 0 + -2 = -2 -6n = -2 Divide each side by '-6'. n = 0.3333333333 Simplifying n = 0.3333333333
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