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Simplifying 3(3n + 3) = 8(5n + 2) + 1 Reorder the terms: 3(3 + 3n) = 8(5n + 2) + 1 (3 * 3 + 3n * 3) = 8(5n + 2) + 1 (9 + 9n) = 8(5n + 2) + 1 Reorder the terms: 9 + 9n = 8(2 + 5n) + 1 9 + 9n = (2 * 8 + 5n * 8) + 1 9 + 9n = (16 + 40n) + 1 Reorder the terms: 9 + 9n = 16 + 1 + 40n Combine like terms: 16 + 1 = 17 9 + 9n = 17 + 40n Solving 9 + 9n = 17 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 9 + 9n + -40n = 17 + 40n + -40n Combine like terms: 9n + -40n = -31n 9 + -31n = 17 + 40n + -40n Combine like terms: 40n + -40n = 0 9 + -31n = 17 + 0 9 + -31n = 17 Add '-9' to each side of the equation. 9 + -9 + -31n = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -31n = 17 + -9 -31n = 17 + -9 Combine like terms: 17 + -9 = 8 -31n = 8 Divide each side by '-31'. n = -0.2580645161 Simplifying n = -0.2580645161
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