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Simplifying 6n + 9(5 + 3n) = -42 + 4n 6n + (5 * 9 + 3n * 9) = -42 + 4n 6n + (45 + 27n) = -42 + 4n Reorder the terms: 45 + 6n + 27n = -42 + 4n Combine like terms: 6n + 27n = 33n 45 + 33n = -42 + 4n Solving 45 + 33n = -42 + 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. 45 + 33n + -4n = -42 + 4n + -4n Combine like terms: 33n + -4n = 29n 45 + 29n = -42 + 4n + -4n Combine like terms: 4n + -4n = 0 45 + 29n = -42 + 0 45 + 29n = -42 Add '-45' to each side of the equation. 45 + -45 + 29n = -42 + -45 Combine like terms: 45 + -45 = 0 0 + 29n = -42 + -45 29n = -42 + -45 Combine like terms: -42 + -45 = -87 29n = -87 Divide each side by '29'. n = -3 Simplifying n = -3
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