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Simplifying 18(1 + -2k) = 100 (1 * 18 + -2k * 18) = 100 (18 + -36k) = 100 Solving 18 + -36k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -36k = 100 + -18 Combine like terms: 18 + -18 = 0 0 + -36k = 100 + -18 -36k = 100 + -18 Combine like terms: 100 + -18 = 82 -36k = 82 Divide each side by '-36'. k = -2.277777778 Simplifying k = -2.277777778
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