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Simplifying 4(2 + 6n) = 3(1 + 5n) (2 * 4 + 6n * 4) = 3(1 + 5n) (8 + 24n) = 3(1 + 5n) 8 + 24n = (1 * 3 + 5n * 3) 8 + 24n = (3 + 15n) Solving 8 + 24n = 3 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 8 + 24n + -15n = 3 + 15n + -15n Combine like terms: 24n + -15n = 9n 8 + 9n = 3 + 15n + -15n Combine like terms: 15n + -15n = 0 8 + 9n = 3 + 0 8 + 9n = 3 Add '-8' to each side of the equation. 8 + -8 + 9n = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 9n = 3 + -8 9n = 3 + -8 Combine like terms: 3 + -8 = -5 9n = -5 Divide each side by '9'. n = -0.5555555556 Simplifying n = -0.5555555556
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