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Simplifying 6n + 4(n + 6) = 3(4 + -14n) + -2n Reorder the terms: 6n + 4(6 + n) = 3(4 + -14n) + -2n 6n + (6 * 4 + n * 4) = 3(4 + -14n) + -2n 6n + (24 + 4n) = 3(4 + -14n) + -2n Reorder the terms: 24 + 6n + 4n = 3(4 + -14n) + -2n Combine like terms: 6n + 4n = 10n 24 + 10n = 3(4 + -14n) + -2n 24 + 10n = (4 * 3 + -14n * 3) + -2n 24 + 10n = (12 + -42n) + -2n Combine like terms: -42n + -2n = -44n 24 + 10n = 12 + -44n Solving 24 + 10n = 12 + -44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44n' to each side of the equation. 24 + 10n + 44n = 12 + -44n + 44n Combine like terms: 10n + 44n = 54n 24 + 54n = 12 + -44n + 44n Combine like terms: -44n + 44n = 0 24 + 54n = 12 + 0 24 + 54n = 12 Add '-24' to each side of the equation. 24 + -24 + 54n = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 54n = 12 + -24 54n = 12 + -24 Combine like terms: 12 + -24 = -12 54n = -12 Divide each side by '54'. n = -0.2222222222 Simplifying n = -0.2222222222
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