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Simplifying 3n = 27 + -6(n + -3) Reorder the terms: 3n = 27 + -6(-3 + n) 3n = 27 + (-3 * -6 + n * -6) 3n = 27 + (18 + -6n) Combine like terms: 27 + 18 = 45 3n = 45 + -6n Solving 3n = 45 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 3n + 6n = 45 + -6n + 6n Combine like terms: 3n + 6n = 9n 9n = 45 + -6n + 6n Combine like terms: -6n + 6n = 0 9n = 45 + 0 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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