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Simplifying 3(3n + 3) = 8(6n + 3) + 1 Reorder the terms: 3(3 + 3n) = 8(6n + 3) + 1 (3 * 3 + 3n * 3) = 8(6n + 3) + 1 (9 + 9n) = 8(6n + 3) + 1 Reorder the terms: 9 + 9n = 8(3 + 6n) + 1 9 + 9n = (3 * 8 + 6n * 8) + 1 9 + 9n = (24 + 48n) + 1 Reorder the terms: 9 + 9n = 24 + 1 + 48n Combine like terms: 24 + 1 = 25 9 + 9n = 25 + 48n Solving 9 + 9n = 25 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 9 + 9n + -48n = 25 + 48n + -48n Combine like terms: 9n + -48n = -39n 9 + -39n = 25 + 48n + -48n Combine like terms: 48n + -48n = 0 9 + -39n = 25 + 0 9 + -39n = 25 Add '-9' to each side of the equation. 9 + -9 + -39n = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -39n = 25 + -9 -39n = 25 + -9 Combine like terms: 25 + -9 = 16 -39n = 16 Divide each side by '-39'. n = -0.4102564103 Simplifying n = -0.4102564103
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