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Simplifying 3(3n + 6) + 5n = 5n + -38 Reorder the terms: 3(6 + 3n) + 5n = 5n + -38 (6 * 3 + 3n * 3) + 5n = 5n + -38 (18 + 9n) + 5n = 5n + -38 Combine like terms: 9n + 5n = 14n 18 + 14n = 5n + -38 Reorder the terms: 18 + 14n = -38 + 5n Solving 18 + 14n = -38 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 18 + 14n + -5n = -38 + 5n + -5n Combine like terms: 14n + -5n = 9n 18 + 9n = -38 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 9n = -38 + 0 18 + 9n = -38 Add '-18' to each side of the equation. 18 + -18 + 9n = -38 + -18 Combine like terms: 18 + -18 = 0 0 + 9n = -38 + -18 9n = -38 + -18 Combine like terms: -38 + -18 = -56 9n = -56 Divide each side by '9'. n = -6.222222222 Simplifying n = -6.222222222
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