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Simplifying k + 19 = -16k + -9 + 10k Reorder the terms: 19 + k = -16k + -9 + 10k Reorder the terms: 19 + k = -9 + -16k + 10k Combine like terms: -16k + 10k = -6k 19 + k = -9 + -6k Solving 19 + k = -9 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 19 + k + 6k = -9 + -6k + 6k Combine like terms: k + 6k = 7k 19 + 7k = -9 + -6k + 6k Combine like terms: -6k + 6k = 0 19 + 7k = -9 + 0 19 + 7k = -9 Add '-19' to each side of the equation. 19 + -19 + 7k = -9 + -19 Combine like terms: 19 + -19 = 0 0 + 7k = -9 + -19 7k = -9 + -19 Combine like terms: -9 + -19 = -28 7k = -28 Divide each side by '7'. k = -4 Simplifying k = -4
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