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Simplifying -27 + 3n = 3(1 + 3n) -27 + 3n = (1 * 3 + 3n * 3) -27 + 3n = (3 + 9n) Solving -27 + 3n = 3 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -27 + 3n + -9n = 3 + 9n + -9n Combine like terms: 3n + -9n = -6n -27 + -6n = 3 + 9n + -9n Combine like terms: 9n + -9n = 0 -27 + -6n = 3 + 0 -27 + -6n = 3 Add '27' to each side of the equation. -27 + 27 + -6n = 3 + 27 Combine like terms: -27 + 27 = 0 0 + -6n = 3 + 27 -6n = 3 + 27 Combine like terms: 3 + 27 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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