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Simplifying 3(1 + -4n) + -6 = -27 + -6n (1 * 3 + -4n * 3) + -6 = -27 + -6n (3 + -12n) + -6 = -27 + -6n Reorder the terms: 3 + -6 + -12n = -27 + -6n Combine like terms: 3 + -6 = -3 -3 + -12n = -27 + -6n Solving -3 + -12n = -27 + -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 = -27 + -6n + 6n Combine like terms: -12n + 6n = -6n -3 + -6n = -27 + -6n + 6n Combine like terms: -6n + 6n = 0 -3 + -6n = -27 + 0 -3 + -6n = -27 Add '3' to each side of the equation. -3 + 3 + -6n = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -6n = -27 + 3 -6n = -27 + 3 Combine like terms: -27 + 3 = -24 -6n = -24 Divide each side by '-6'. n = 4 Simplifying n = 4
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