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Simplifying 19 + 11k = 2 + 7k + -19 Reorder the terms: 19 + 11k = 2 + -19 + 7k Combine like terms: 2 + -19 = -17 19 + 11k = -17 + 7k Solving 19 + 11k = -17 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 19 + 11k + -7k = -17 + 7k + -7k Combine like terms: 11k + -7k = 4k 19 + 4k = -17 + 7k + -7k Combine like terms: 7k + -7k = 0 19 + 4k = -17 + 0 19 + 4k = -17 Add '-19' to each side of the equation. 19 + -19 + 4k = -17 + -19 Combine like terms: 19 + -19 = 0 0 + 4k = -17 + -19 4k = -17 + -19 Combine like terms: -17 + -19 = -36 4k = -36 Divide each side by '4'. k = -9 Simplifying k = -9
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