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Simplifying 2(10 + 12n) = 3(15n + 15) (10 * 2 + 12n * 2) = 3(15n + 15) (20 + 24n) = 3(15n + 15) Reorder the terms: 20 + 24n = 3(15 + 15n) 20 + 24n = (15 * 3 + 15n * 3) 20 + 24n = (45 + 45n) Solving 20 + 24n = 45 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 20 + 24n + -45n = 45 + 45n + -45n Combine like terms: 24n + -45n = -21n 20 + -21n = 45 + 45n + -45n Combine like terms: 45n + -45n = 0 20 + -21n = 45 + 0 20 + -21n = 45 Add '-20' to each side of the equation. 20 + -20 + -21n = 45 + -20 Combine like terms: 20 + -20 = 0 0 + -21n = 45 + -20 -21n = 45 + -20 Combine like terms: 45 + -20 = 25 -21n = 25 Divide each side by '-21'. n = -1.19047619 Simplifying n = -1.19047619
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