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Simplifying 5n + 7 + n = (2n + 1) + 3n + -2 + n Reorder the terms: 7 + 5n + n = (2n + 1) + 3n + -2 + n Combine like terms: 5n + n = 6n 7 + 6n = (2n + 1) + 3n + -2 + n Reorder the terms: 7 + 6n = (1 + 2n) + 3n + -2 + n Remove parenthesis around (1 + 2n) 7 + 6n = 1 + 2n + 3n + -2 + n Reorder the terms: 7 + 6n = 1 + -2 + 2n + 3n + n Combine like terms: 1 + -2 = -1 7 + 6n = -1 + 2n + 3n + n Combine like terms: 2n + 3n = 5n 7 + 6n = -1 + 5n + n Combine like terms: 5n + n = 6n 7 + 6n = -1 + 6n Add '-6n' to each side of the equation. 7 + 6n + -6n = -1 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + 0 = -1 + 6n + -6n 7 = -1 + 6n + -6n Combine like terms: 6n + -6n = 0 7 = -1 + 0 7 = -1 Solving 7 = -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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