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Simplifying 8 + 3(n + -1) = 5n + -2(n + 1) Reorder the terms: 8 + 3(-1 + n) = 5n + -2(n + 1) 8 + (-1 * 3 + n * 3) = 5n + -2(n + 1) 8 + (-3 + 3n) = 5n + -2(n + 1) Combine like terms: 8 + -3 = 5 5 + 3n = 5n + -2(n + 1) Reorder the terms: 5 + 3n = 5n + -2(1 + n) 5 + 3n = 5n + (1 * -2 + n * -2) 5 + 3n = 5n + (-2 + -2n) Reorder the terms: 5 + 3n = -2 + 5n + -2n Combine like terms: 5n + -2n = 3n 5 + 3n = -2 + 3n Add '-3n' to each side of the equation. 5 + 3n + -3n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 0 = -2 + 3n + -3n 5 = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 5 = -2 + 0 5 = -2 Solving 5 = -2 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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