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Simplifying 3(5n + 1) + 8 = 5(3n + 5) Reorder the terms: 3(1 + 5n) + 8 = 5(3n + 5) (1 * 3 + 5n * 3) + 8 = 5(3n + 5) (3 + 15n) + 8 = 5(3n + 5) Reorder the terms: 3 + 8 + 15n = 5(3n + 5) Combine like terms: 3 + 8 = 11 11 + 15n = 5(3n + 5) Reorder the terms: 11 + 15n = 5(5 + 3n) 11 + 15n = (5 * 5 + 3n * 5) 11 + 15n = (25 + 15n) Add '-15n' to each side of the equation. 11 + 15n + -15n = 25 + 15n + -15n Combine like terms: 15n + -15n = 0 11 + 0 = 25 + 15n + -15n 11 = 25 + 15n + -15n Combine like terms: 15n + -15n = 0 11 = 25 + 0 11 = 25 Solving 11 = 25 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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