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Simplifying (3 * 4 + 8)(5 + 3n * 3) = (6 * 3 + 2)(4n + 3 + 5n) Multiply 3 * 4 (12 + 8)(5 + 3n * 3) = (6 * 3 + 2)(4n + 3 + 5n) Combine like terms: 12 + 8 = 20 (20)(5 + 3n * 3) = (6 * 3 + 2)(4n + 3 + 5n) Reorder the terms for easier multiplication: 20(5 + 3 * 3n) = (6 * 3 + 2)(4n + 3 + 5n) Multiply 3 * 3 20(5 + 9n) = (6 * 3 + 2)(4n + 3 + 5n) (5 * 20 + 9n * 20) = (6 * 3 + 2)(4n + 3 + 5n) (100 + 180n) = (6 * 3 + 2)(4n + 3 + 5n) Multiply 6 * 3 100 + 180n = (18 + 2)(4n + 3 + 5n) Combine like terms: 18 + 2 = 20 100 + 180n = (20)(4n + 3 + 5n) Reorder the terms: 100 + 180n = 20(3 + 4n + 5n) Combine like terms: 4n + 5n = 9n 100 + 180n = 20(3 + 9n) 100 + 180n = (3 * 20 + 9n * 20) 100 + 180n = (60 + 180n) Add '-180n' to each side of the equation. 100 + 180n + -180n = 60 + 180n + -180n Combine like terms: 180n + -180n = 0 100 + 0 = 60 + 180n + -180n 100 = 60 + 180n + -180n Combine like terms: 180n + -180n = 0 100 = 60 + 0 100 = 60 Solving 100 = 60 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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