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Simplifying 8(3n + 9) + 5 = 12(2n + -1) + 3 Reorder the terms: 8(9 + 3n) + 5 = 12(2n + -1) + 3 (9 * 8 + 3n * 8) + 5 = 12(2n + -1) + 3 (72 + 24n) + 5 = 12(2n + -1) + 3 Reorder the terms: 72 + 5 + 24n = 12(2n + -1) + 3 Combine like terms: 72 + 5 = 77 77 + 24n = 12(2n + -1) + 3 Reorder the terms: 77 + 24n = 12(-1 + 2n) + 3 77 + 24n = (-1 * 12 + 2n * 12) + 3 77 + 24n = (-12 + 24n) + 3 Reorder the terms: 77 + 24n = -12 + 3 + 24n Combine like terms: -12 + 3 = -9 77 + 24n = -9 + 24n Add '-24n' to each side of the equation. 77 + 24n + -24n = -9 + 24n + -24n Combine like terms: 24n + -24n = 0 77 + 0 = -9 + 24n + -24n 77 = -9 + 24n + -24n Combine like terms: 24n + -24n = 0 77 = -9 + 0 77 = -9 Solving 77 = -9 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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