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Simplifying 3(4n + -1) = 39 + -6n Reorder the terms: 3(-1 + 4n) = 39 + -6n (-1 * 3 + 4n * 3) = 39 + -6n (-3 + 12n) = 39 + -6n Solving -3 + 12n = 39 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -3 + 12n + 6n = 39 + -6n + 6n Combine like terms: 12n + 6n = 18n -3 + 18n = 39 + -6n + 6n Combine like terms: -6n + 6n = 0 -3 + 18n = 39 + 0 -3 + 18n = 39 Add '3' to each side of the equation. -3 + 3 + 18n = 39 + 3 Combine like terms: -3 + 3 = 0 0 + 18n = 39 + 3 18n = 39 + 3 Combine like terms: 39 + 3 = 42 18n = 42 Divide each side by '18'. n = 2.333333333 Simplifying n = 2.333333333
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