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Simplifying -27 = 2 + 3(n + 4) Reorder the terms: -27 = 2 + 3(4 + n) -27 = 2 + (4 * 3 + n * 3) -27 = 2 + (12 + 3n) Combine like terms: 2 + 12 = 14 -27 = 14 + 3n Solving -27 = 14 + 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. -27 + -3n = 14 + 3n + -3n Combine like terms: 3n + -3n = 0 -27 + -3n = 14 + 0 -27 + -3n = 14 Add '27' to each side of the equation. -27 + 27 + -3n = 14 + 27 Combine like terms: -27 + 27 = 0 0 + -3n = 14 + 27 -3n = 14 + 27 Combine like terms: 14 + 27 = 41 -3n = 41 Divide each side by '-3'. n = -13.66666667 Simplifying n = -13.66666667
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