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Simplifying k + 108 = 180 + -24 + 7k Reorder the terms: 108 + k = 180 + -24 + 7k Combine like terms: 180 + -24 = 156 108 + k = 156 + 7k Solving 108 + k = 156 + 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. 108 + k + -7k = 156 + 7k + -7k Combine like terms: k + -7k = -6k 108 + -6k = 156 + 7k + -7k Combine like terms: 7k + -7k = 0 108 + -6k = 156 + 0 108 + -6k = 156 Add '-108' to each side of the equation. 108 + -108 + -6k = 156 + -108 Combine like terms: 108 + -108 = 0 0 + -6k = 156 + -108 -6k = 156 + -108 Combine like terms: 156 + -108 = 48 -6k = 48 Divide each side by '-6'. k = -8 Simplifying k = -8
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