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Simplifying -7k + -23 = 9k + -14k Reorder the terms: -23 + -7k = 9k + -14k Combine like terms: 9k + -14k = -5k -23 + -7k = -5k Solving -23 + -7k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -23 + -7k + 5k = -5k + 5k Combine like terms: -7k + 5k = -2k -23 + -2k = -5k + 5k Combine like terms: -5k + 5k = 0 -23 + -2k = 0 Add '23' to each side of the equation. -23 + 23 + -2k = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -2k = 0 + 23 -2k = 0 + 23 Combine like terms: 0 + 23 = 23 -2k = 23 Divide each side by '-2'. k = -11.5 Simplifying k = -11.5
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