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Simplifying 5[n + 1] + 2n = 7n + 1 Reorder the terms: 5[1 + n] + 2n = 7n + 1 [1 * 5 + n * 5] + 2n = 7n + 1 [5 + 5n] + 2n = 7n + 1 Combine like terms: 5n + 2n = 7n 5 + 7n = 7n + 1 Reorder the terms: 5 + 7n = 1 + 7n Add '-7n' to each side of the equation. 5 + 7n + -7n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 5 + 0 = 1 + 7n + -7n 5 = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 5 = 1 + 0 5 = 1 Solving 5 = 1 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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