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Simplifying -6(n + 6) = 24 + 6n Reorder the terms: -6(6 + n) = 24 + 6n (6 * -6 + n * -6) = 24 + 6n (-36 + -6n) = 24 + 6n Solving -36 + -6n = 24 + 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. -36 + -6n + -6n = 24 + 6n + -6n Combine like terms: -6n + -6n = -12n -36 + -12n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 -36 + -12n = 24 + 0 -36 + -12n = 24 Add '36' to each side of the equation. -36 + 36 + -12n = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -12n = 24 + 36 -12n = 24 + 36 Combine like terms: 24 + 36 = 60 -12n = 60 Divide each side by '-12'. n = -5 Simplifying n = -5
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