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Simplifying 8(5n + -1) + 9 = 5(8n + 5) Reorder the terms: 8(-1 + 5n) + 9 = 5(8n + 5) (-1 * 8 + 5n * 8) + 9 = 5(8n + 5) (-8 + 40n) + 9 = 5(8n + 5) Reorder the terms: -8 + 9 + 40n = 5(8n + 5) Combine like terms: -8 + 9 = 1 1 + 40n = 5(8n + 5) Reorder the terms: 1 + 40n = 5(5 + 8n) 1 + 40n = (5 * 5 + 8n * 5) 1 + 40n = (25 + 40n) Add '-40n' to each side of the equation. 1 + 40n + -40n = 25 + 40n + -40n Combine like terms: 40n + -40n = 0 1 + 0 = 25 + 40n + -40n 1 = 25 + 40n + -40n Combine like terms: 40n + -40n = 0 1 = 25 + 0 1 = 25 Solving 1 = 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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