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Simplifying 27 + -6n = 3(n + 3) Reorder the terms: 27 + -6n = 3(3 + n) 27 + -6n = (3 * 3 + n * 3) 27 + -6n = (9 + 3n) Solving 27 + -6n = 9 + 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 + -6n + -3n = 9 + 3n + -3n Combine like terms: -6n + -3n = -9n 27 + -9n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 27 + -9n = 9 + 0 27 + -9n = 9 Add '-27' to each side of the equation. 27 + -27 + -9n = 9 + -27 Combine like terms: 27 + -27 = 0 0 + -9n = 9 + -27 -9n = 9 + -27 Combine like terms: 9 + -27 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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