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Simplifying 4(19 + 4k) = 364 (19 * 4 + 4k * 4) = 364 (76 + 16k) = 364 Solving 76 + 16k = 364 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 16k = 364 + -76 Combine like terms: 76 + -76 = 0 0 + 16k = 364 + -76 16k = 364 + -76 Combine like terms: 364 + -76 = 288 16k = 288 Divide each side by '16'. k = 18 Simplifying k = 18
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