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Simplifying 3(3n + 8) + 2n = -18 + 4n Reorder the terms: 3(8 + 3n) + 2n = -18 + 4n (8 * 3 + 3n * 3) + 2n = -18 + 4n (24 + 9n) + 2n = -18 + 4n Combine like terms: 9n + 2n = 11n 24 + 11n = -18 + 4n Solving 24 + 11n = -18 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 24 + 11n + -4n = -18 + 4n + -4n Combine like terms: 11n + -4n = 7n 24 + 7n = -18 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + 7n = -18 + 0 24 + 7n = -18 Add '-24' to each side of the equation. 24 + -24 + 7n = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 7n = -18 + -24 7n = -18 + -24 Combine like terms: -18 + -24 = -42 7n = -42 Divide each side by '7'. n = -6 Simplifying n = -6
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