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Simplifying 9(2 + -4k) = -23 (2 * 9 + -4k * 9) = -23 (18 + -36k) = -23 Solving 18 + -36k = -23 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 = -23 + -18 Combine like terms: 18 + -18 = 0 0 + -36k = -23 + -18 -36k = -23 + -18 Combine like terms: -23 + -18 = -41 -36k = -41 Divide each side by '-36'. k = 1.138888889 Simplifying k = 1.138888889
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