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Simplifying 5(2n + 1) = 6(9n + 1) * 6 Reorder the terms: 5(1 + 2n) = 6(9n + 1) * 6 (1 * 5 + 2n * 5) = 6(9n + 1) * 6 (5 + 10n) = 6(9n + 1) * 6 Reorder the terms: 5 + 10n = 6(1 + 9n) * 6 Reorder the terms for easier multiplication: 5 + 10n = 6 * 6(1 + 9n) Multiply 6 * 6 5 + 10n = 36(1 + 9n) 5 + 10n = (1 * 36 + 9n * 36) 5 + 10n = (36 + 324n) Solving 5 + 10n = 36 + 324n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-324n' to each side of the equation. 5 + 10n + -324n = 36 + 324n + -324n Combine like terms: 10n + -324n = -314n 5 + -314n = 36 + 324n + -324n Combine like terms: 324n + -324n = 0 5 + -314n = 36 + 0 5 + -314n = 36 Add '-5' to each side of the equation. 5 + -5 + -314n = 36 + -5 Combine like terms: 5 + -5 = 0 0 + -314n = 36 + -5 -314n = 36 + -5 Combine like terms: 36 + -5 = 31 -314n = 31 Divide each side by '-314'. n = -0.09872611465 Simplifying n = -0.09872611465
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