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Simplifying 5(9n + -1) + 8 = 9(5n + 9) Reorder the terms: 5(-1 + 9n) + 8 = 9(5n + 9) (-1 * 5 + 9n * 5) + 8 = 9(5n + 9) (-5 + 45n) + 8 = 9(5n + 9) Reorder the terms: -5 + 8 + 45n = 9(5n + 9) Combine like terms: -5 + 8 = 3 3 + 45n = 9(5n + 9) Reorder the terms: 3 + 45n = 9(9 + 5n) 3 + 45n = (9 * 9 + 5n * 9) 3 + 45n = (81 + 45n) Add '-45n' to each side of the equation. 3 + 45n + -45n = 81 + 45n + -45n Combine like terms: 45n + -45n = 0 3 + 0 = 81 + 45n + -45n 3 = 81 + 45n + -45n Combine like terms: 45n + -45n = 0 3 = 81 + 0 3 = 81 Solving 3 = 81 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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