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Simplifying 3(2 + -6n) = 5(6 + -4n) (2 * 3 + -6n * 3) = 5(6 + -4n) (6 + -18n) = 5(6 + -4n) 6 + -18n = (6 * 5 + -4n * 5) 6 + -18n = (30 + -20n) Solving 6 + -18n = 30 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 6 + -18n + 20n = 30 + -20n + 20n Combine like terms: -18n + 20n = 2n 6 + 2n = 30 + -20n + 20n Combine like terms: -20n + 20n = 0 6 + 2n = 30 + 0 6 + 2n = 30 Add '-6' to each side of the equation. 6 + -6 + 2n = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = 30 + -6 2n = 30 + -6 Combine like terms: 30 + -6 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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