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