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Simplifying 2(n + 5) = 3(3n + -5) Reorder the terms: 2(5 + n) = 3(3n + -5) (5 * 2 + n * 2) = 3(3n + -5) (10 + 2n) = 3(3n + -5) Reorder the terms: 10 + 2n = 3(-5 + 3n) 10 + 2n = (-5 * 3 + 3n * 3) 10 + 2n = (-15 + 9n) Solving 10 + 2n = -15 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 10 + 2n + -9n = -15 + 9n + -9n Combine like terms: 2n + -9n = -7n 10 + -7n = -15 + 9n + -9n Combine like terms: 9n + -9n = 0 10 + -7n = -15 + 0 10 + -7n = -15 Add '-10' to each side of the equation. 10 + -10 + -7n = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -7n = -15 + -10 -7n = -15 + -10 Combine like terms: -15 + -10 = -25 -7n = -25 Divide each side by '-7'. n = 3.571428571 Simplifying n = 3.571428571
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