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Simplifying 2(10 + 3n) = 12n (10 * 2 + 3n * 2) = 12n (20 + 6n) = 12n Solving 20 + 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. 20 + 6n + -12n = 12n + -12n Combine like terms: 6n + -12n = -6n 20 + -6n = 12n + -12n Combine like terms: 12n + -12n = 0 20 + -6n = 0 Add '-20' to each side of the equation. 20 + -20 + -6n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -6n = 0 + -20 -6n = 0 + -20 Combine like terms: 0 + -20 = -20 -6n = -20 Divide each side by '-6'. n = 3.333333333 Simplifying n = 3.333333333
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