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Simplifying -6(n + 2) = 24 + 3n Reorder the terms: -6(2 + n) = 24 + 3n (2 * -6 + n * -6) = 24 + 3n (-12 + -6n) = 24 + 3n Solving -12 + -6n = 24 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + -6n + -3n = 24 + 3n + -3n Combine like terms: -6n + -3n = -9n -12 + -9n = 24 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + -9n = 24 + 0 -12 + -9n = 24 Add '12' to each side of the equation. -12 + 12 + -9n = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -9n = 24 + 12 -9n = 24 + 12 Combine like terms: 24 + 12 = 36 -9n = 36 Divide each side by '-9'. n = -4 Simplifying n = -4
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