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Simplifying -3(6n + -4) = -39 + -1n Reorder the terms: -3(-4 + 6n) = -39 + -1n (-4 * -3 + 6n * -3) = -39 + -1n (12 + -18n) = -39 + -1n Solving 12 + -18n = -39 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 12 + -18n + n = -39 + -1n + n Combine like terms: -18n + n = -17n 12 + -17n = -39 + -1n + n Combine like terms: -1n + n = 0 12 + -17n = -39 + 0 12 + -17n = -39 Add '-12' to each side of the equation. 12 + -12 + -17n = -39 + -12 Combine like terms: 12 + -12 = 0 0 + -17n = -39 + -12 -17n = -39 + -12 Combine like terms: -39 + -12 = -51 -17n = -51 Divide each side by '-17'. n = 3 Simplifying n = 3
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