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Simplifying 3(3n + 6) = 2n + 18 Reorder the terms: 3(6 + 3n) = 2n + 18 (6 * 3 + 3n * 3) = 2n + 18 (18 + 9n) = 2n + 18 Reorder the terms: 18 + 9n = 18 + 2n Add '-18' to each side of the equation. 18 + -18 + 9n = 18 + -18 + 2n Combine like terms: 18 + -18 = 0 0 + 9n = 18 + -18 + 2n 9n = 18 + -18 + 2n Combine like terms: 18 + -18 = 0 9n = 0 + 2n 9n = 2n Solving 9n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 9n + -2n = 2n + -2n Combine like terms: 9n + -2n = 7n 7n = 2n + -2n Combine like terms: 2n + -2n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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