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Simplifying 5 + -5 + -7k = -10k + -10 Combine like terms: 5 + -5 = 0 0 + -7k = -10k + -10 -7k = -10k + -10 Reorder the terms: -7k = -10 + -10k Solving -7k = -10 + -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. -7k + 10k = -10 + -10k + 10k Combine like terms: -7k + 10k = 3k 3k = -10 + -10k + 10k Combine like terms: -10k + 10k = 0 3k = -10 + 0 3k = -10 Divide each side by '3'. k = -3.333333333 Simplifying k = -3.333333333
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