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Simplifying 11 + -2k = 31 + -7k Solving 11 + -2k = 31 + -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. 11 + -2k + 7k = 31 + -7k + 7k Combine like terms: -2k + 7k = 5k 11 + 5k = 31 + -7k + 7k Combine like terms: -7k + 7k = 0 11 + 5k = 31 + 0 11 + 5k = 31 Add '-11' to each side of the equation. 11 + -11 + 5k = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 5k = 31 + -11 5k = 31 + -11 Combine like terms: 31 + -11 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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