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Simplifying 8(4n + 13) = 12n Reorder the terms: 8(13 + 4n) = 12n (13 * 8 + 4n * 8) = 12n (104 + 32n) = 12n Solving 104 + 32n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 104 + 32n + -12n = 12n + -12n Combine like terms: 32n + -12n = 20n 104 + 20n = 12n + -12n Combine like terms: 12n + -12n = 0 104 + 20n = 0 Add '-104' to each side of the equation. 104 + -104 + 20n = 0 + -104 Combine like terms: 104 + -104 = 0 0 + 20n = 0 + -104 20n = 0 + -104 Combine like terms: 0 + -104 = -104 20n = -104 Divide each side by '20'. n = -5.2 Simplifying n = -5.2
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