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Simplifying 3n + 9 = -3(2n + -6) Reorder the terms: 9 + 3n = -3(2n + -6) Reorder the terms: 9 + 3n = -3(-6 + 2n) 9 + 3n = (-6 * -3 + 2n * -3) 9 + 3n = (18 + -6n) Solving 9 + 3n = 18 + -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. 9 + 3n + 6n = 18 + -6n + 6n Combine like terms: 3n + 6n = 9n 9 + 9n = 18 + -6n + 6n Combine like terms: -6n + 6n = 0 9 + 9n = 18 + 0 9 + 9n = 18 Add '-9' to each side of the equation. 9 + -9 + 9n = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 9n = 18 + -9 9n = 18 + -9 Combine like terms: 18 + -9 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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