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Simplifying 4(9K + 14) = (-2k + 14) Reorder the terms: 4(14 + 9K) = (-2k + 14) (14 * 4 + 9K * 4) = (-2k + 14) (56 + 36K) = (-2k + 14) Reorder the terms: 56 + 36K = (14 + -2k) Remove parenthesis around (14 + -2k) 56 + 36K = 14 + -2k Solving 56 + 36K = 14 + -2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 36K = 14 + -56 + -2k Combine like terms: 56 + -56 = 0 0 + 36K = 14 + -56 + -2k 36K = 14 + -56 + -2k Combine like terms: 14 + -56 = -42 36K = -42 + -2k Divide each side by '36'. K = -1.166666667 + -0.05555555556k Simplifying K = -1.166666667 + -0.05555555556k
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