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Simplifying 3n + 11 = 2(1 + 6n) Reorder the terms: 11 + 3n = 2(1 + 6n) 11 + 3n = (1 * 2 + 6n * 2) 11 + 3n = (2 + 12n) Solving 11 + 3n = 2 + 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. 11 + 3n + -12n = 2 + 12n + -12n Combine like terms: 3n + -12n = -9n 11 + -9n = 2 + 12n + -12n Combine like terms: 12n + -12n = 0 11 + -9n = 2 + 0 11 + -9n = 2 Add '-11' to each side of the equation. 11 + -11 + -9n = 2 + -11 Combine like terms: 11 + -11 = 0 0 + -9n = 2 + -11 -9n = 2 + -11 Combine like terms: 2 + -11 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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