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Simplifying 23(k + 18) = 805 Reorder the terms: 23(18 + k) = 805 (18 * 23 + k * 23) = 805 (414 + 23k) = 805 Solving 414 + 23k = 805 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-414' to each side of the equation. 414 + -414 + 23k = 805 + -414 Combine like terms: 414 + -414 = 0 0 + 23k = 805 + -414 23k = 805 + -414 Combine like terms: 805 + -414 = 391 23k = 391 Divide each side by '23'. k = 17 Simplifying k = 17
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