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Simplifying 3(3n + 5) = 7(3n + 5) + 2 Reorder the terms: 3(5 + 3n) = 7(3n + 5) + 2 (5 * 3 + 3n * 3) = 7(3n + 5) + 2 (15 + 9n) = 7(3n + 5) + 2 Reorder the terms: 15 + 9n = 7(5 + 3n) + 2 15 + 9n = (5 * 7 + 3n * 7) + 2 15 + 9n = (35 + 21n) + 2 Reorder the terms: 15 + 9n = 35 + 2 + 21n Combine like terms: 35 + 2 = 37 15 + 9n = 37 + 21n Solving 15 + 9n = 37 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 15 + 9n + -21n = 37 + 21n + -21n Combine like terms: 9n + -21n = -12n 15 + -12n = 37 + 21n + -21n Combine like terms: 21n + -21n = 0 15 + -12n = 37 + 0 15 + -12n = 37 Add '-15' to each side of the equation. 15 + -15 + -12n = 37 + -15 Combine like terms: 15 + -15 = 0 0 + -12n = 37 + -15 -12n = 37 + -15 Combine like terms: 37 + -15 = 22 -12n = 22 Divide each side by '-12'. n = -1.833333333 Simplifying n = -1.833333333
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