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Simplifying 6(3 + n) = 5n + 3(1 + 2n) (3 * 6 + n * 6) = 5n + 3(1 + 2n) (18 + 6n) = 5n + 3(1 + 2n) 18 + 6n = 5n + (1 * 3 + 2n * 3) 18 + 6n = 5n + (3 + 6n) Reorder the terms: 18 + 6n = 3 + 5n + 6n Combine like terms: 5n + 6n = 11n 18 + 6n = 3 + 11n Solving 18 + 6n = 3 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 18 + 6n + -11n = 3 + 11n + -11n Combine like terms: 6n + -11n = -5n 18 + -5n = 3 + 11n + -11n Combine like terms: 11n + -11n = 0 18 + -5n = 3 + 0 18 + -5n = 3 Add '-18' to each side of the equation. 18 + -18 + -5n = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -5n = 3 + -18 -5n = 3 + -18 Combine like terms: 3 + -18 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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