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Simplifying 8k + -8 + 5k + -10k + 10 = -7k + -19 Reorder the terms: -8 + 10 + 8k + 5k + -10k = -7k + -19 Combine like terms: -8 + 10 = 2 2 + 8k + 5k + -10k = -7k + -19 Combine like terms: 8k + 5k = 13k 2 + 13k + -10k = -7k + -19 Combine like terms: 13k + -10k = 3k 2 + 3k = -7k + -19 Reorder the terms: 2 + 3k = -19 + -7k Solving 2 + 3k = -19 + -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. 2 + 3k + 7k = -19 + -7k + 7k Combine like terms: 3k + 7k = 10k 2 + 10k = -19 + -7k + 7k Combine like terms: -7k + 7k = 0 2 + 10k = -19 + 0 2 + 10k = -19 Add '-2' to each side of the equation. 2 + -2 + 10k = -19 + -2 Combine like terms: 2 + -2 = 0 0 + 10k = -19 + -2 10k = -19 + -2 Combine like terms: -19 + -2 = -21 10k = -21 Divide each side by '10'. k = -2.1 Simplifying k = -2.1
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