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Simplifying 5n + -1(7 + -1n) = 4n + 2(9 + n) 5n + (7 * -1 + -1n * -1) = 4n + 2(9 + n) 5n + (-7 + 1n) = 4n + 2(9 + n) Reorder the terms: -7 + 5n + 1n = 4n + 2(9 + n) Combine like terms: 5n + 1n = 6n -7 + 6n = 4n + 2(9 + n) -7 + 6n = 4n + (9 * 2 + n * 2) -7 + 6n = 4n + (18 + 2n) Reorder the terms: -7 + 6n = 18 + 4n + 2n Combine like terms: 4n + 2n = 6n -7 + 6n = 18 + 6n Add '-6n' to each side of the equation. -7 + 6n + -6n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 + 0 = 18 + 6n + -6n -7 = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 = 18 + 0 -7 = 18 Solving -7 = 18 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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