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Simplifying 7(5n + -1) + 8 = 5(7n + 5) Reorder the terms: 7(-1 + 5n) + 8 = 5(7n + 5) (-1 * 7 + 5n * 7) + 8 = 5(7n + 5) (-7 + 35n) + 8 = 5(7n + 5) Reorder the terms: -7 + 8 + 35n = 5(7n + 5) Combine like terms: -7 + 8 = 1 1 + 35n = 5(7n + 5) Reorder the terms: 1 + 35n = 5(5 + 7n) 1 + 35n = (5 * 5 + 7n * 5) 1 + 35n = (25 + 35n) Add '-35n' to each side of the equation. 1 + 35n + -35n = 25 + 35n + -35n Combine like terms: 35n + -35n = 0 1 + 0 = 25 + 35n + -35n 1 = 25 + 35n + -35n Combine like terms: 35n + -35n = 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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