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