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