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Simplifying 6(4n + 9) = 15n Reorder the terms: 6(9 + 4n) = 15n (9 * 6 + 4n * 6) = 15n (54 + 24n) = 15n Solving 54 + 24n = 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. 54 + 24n + -15n = 15n + -15n Combine like terms: 24n + -15n = 9n 54 + 9n = 15n + -15n Combine like terms: 15n + -15n = 0 54 + 9n = 0 Add '-54' to each side of the equation. 54 + -54 + 9n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 9n = 0 + -54 9n = 0 + -54 Combine like terms: 0 + -54 = -54 9n = -54 Divide each side by '9'. n = -6 Simplifying n = -6
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