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Simplifying -10 + -7k = 8 + 6 + -10k Combine like terms: 8 + 6 = 14 -10 + -7k = 14 + -10k Solving -10 + -7k = 14 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -10 + -7k + 10k = 14 + -10k + 10k Combine like terms: -7k + 10k = 3k -10 + 3k = 14 + -10k + 10k Combine like terms: -10k + 10k = 0 -10 + 3k = 14 + 0 -10 + 3k = 14 Add '10' to each side of the equation. -10 + 10 + 3k = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 3k = 14 + 10 3k = 14 + 10 Combine like terms: 14 + 10 = 24 3k = 24 Divide each side by '3'. k = 8 Simplifying k = 8
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