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Simplifying 32(16n + 3) = 24n Reorder the terms: 32(3 + 16n) = 24n (3 * 32 + 16n * 32) = 24n (96 + 512n) = 24n Solving 96 + 512n = 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 96 + 512n + -24n = 24n + -24n Combine like terms: 512n + -24n = 488n 96 + 488n = 24n + -24n Combine like terms: 24n + -24n = 0 96 + 488n = 0 Add '-96' to each side of the equation. 96 + -96 + 488n = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 488n = 0 + -96 488n = 0 + -96 Combine like terms: 0 + -96 = -96 488n = -96 Divide each side by '488'. n = -0.1967213115 Simplifying n = -0.1967213115
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