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Simplifying 11 = 7k + 2 + -5 Reorder the terms: 11 = 2 + -5 + 7k Combine like terms: 2 + -5 = -3 11 = -3 + 7k Solving 11 = -3 + 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 + -7k = -3 + 7k + -7k Combine like terms: 7k + -7k = 0 11 + -7k = -3 + 0 11 + -7k = -3 Add '-11' to each side of the equation. 11 + -11 + -7k = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -7k = -3 + -11 -7k = -3 + -11 Combine like terms: -3 + -11 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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