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Simplifying -19 + -7k = 17 + -9k Solving -19 + -7k = 17 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -19 + -7k + 9k = 17 + -9k + 9k Combine like terms: -7k + 9k = 2k -19 + 2k = 17 + -9k + 9k Combine like terms: -9k + 9k = 0 -19 + 2k = 17 + 0 -19 + 2k = 17 Add '19' to each side of the equation. -19 + 19 + 2k = 17 + 19 Combine like terms: -19 + 19 = 0 0 + 2k = 17 + 19 2k = 17 + 19 Combine like terms: 17 + 19 = 36 2k = 36 Divide each side by '2'. k = 18 Simplifying k = 18
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