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Simplifying -6(n + 4) + 27 = -3n + -12 Reorder the terms: -6(4 + n) + 27 = -3n + -12 (4 * -6 + n * -6) + 27 = -3n + -12 (-24 + -6n) + 27 = -3n + -12 Reorder the terms: -24 + 27 + -6n = -3n + -12 Combine like terms: -24 + 27 = 3 3 + -6n = -3n + -12 Reorder the terms: 3 + -6n = -12 + -3n Solving 3 + -6n = -12 + -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. 3 + -6n + 3n = -12 + -3n + 3n Combine like terms: -6n + 3n = -3n 3 + -3n = -12 + -3n + 3n Combine like terms: -3n + 3n = 0 3 + -3n = -12 + 0 3 + -3n = -12 Add '-3' to each side of the equation. 3 + -3 + -3n = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -12 + -3 -3n = -12 + -3 Combine like terms: -12 + -3 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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