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Simplifying 10 + -5k = -2 + -7k Solving 10 + -5k = -2 + -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 = -2 + -7k + 7k Combine like terms: -5k + 7k = 2k 10 + 2k = -2 + -7k + 7k Combine like terms: -7k + 7k = 0 10 + 2k = -2 + 0 10 + 2k = -2 Add '-10' to each side of the equation. 10 + -10 + 2k = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = -2 + -10 2k = -2 + -10 Combine like terms: -2 + -10 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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