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Simplifying 4(11n + 5) + 8(12 + -4n) = 12n + 8 + -1 Reorder the terms: 4(5 + 11n) + 8(12 + -4n) = 12n + 8 + -1 (5 * 4 + 11n * 4) + 8(12 + -4n) = 12n + 8 + -1 (20 + 44n) + 8(12 + -4n) = 12n + 8 + -1 20 + 44n + (12 * 8 + -4n * 8) = 12n + 8 + -1 20 + 44n + (96 + -32n) = 12n + 8 + -1 Reorder the terms: 20 + 96 + 44n + -32n = 12n + 8 + -1 Combine like terms: 20 + 96 = 116 116 + 44n + -32n = 12n + 8 + -1 Combine like terms: 44n + -32n = 12n 116 + 12n = 12n + 8 + -1 Reorder the terms: 116 + 12n = 8 + -1 + 12n Combine like terms: 8 + -1 = 7 116 + 12n = 7 + 12n Add '-12n' to each side of the equation. 116 + 12n + -12n = 7 + 12n + -12n Combine like terms: 12n + -12n = 0 116 + 0 = 7 + 12n + -12n 116 = 7 + 12n + -12n Combine like terms: 12n + -12n = 0 116 = 7 + 0 116 = 7 Solving 116 = 7 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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