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Simplifying 3(4n + -5) = -39 + 6n Reorder the terms: 3(-5 + 4n) = -39 + 6n (-5 * 3 + 4n * 3) = -39 + 6n (-15 + 12n) = -39 + 6n Solving -15 + 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. -15 + 12n + -6n = -39 + 6n + -6n Combine like terms: 12n + -6n = 6n -15 + 6n = -39 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + 6n = -39 + 0 -15 + 6n = -39 Add '15' to each side of the equation. -15 + 15 + 6n = -39 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = -39 + 15 6n = -39 + 15 Combine like terms: -39 + 15 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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