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Simplifying 24(k + 19) = 576 Reorder the terms: 24(19 + k) = 576 (19 * 24 + k * 24) = 576 (456 + 24k) = 576 Solving 456 + 24k = 576 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-456' to each side of the equation. 456 + -456 + 24k = 576 + -456 Combine like terms: 456 + -456 = 0 0 + 24k = 576 + -456 24k = 576 + -456 Combine like terms: 576 + -456 = 120 24k = 120 Divide each side by '24'. k = 5 Simplifying k = 5
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