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Simplifying -7k + 174 = 4k + 69 Reorder the terms: 174 + -7k = 4k + 69 Reorder the terms: 174 + -7k = 69 + 4k Solving 174 + -7k = 69 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 174 + -7k + -4k = 69 + 4k + -4k Combine like terms: -7k + -4k = -11k 174 + -11k = 69 + 4k + -4k Combine like terms: 4k + -4k = 0 174 + -11k = 69 + 0 174 + -11k = 69 Add '-174' to each side of the equation. 174 + -174 + -11k = 69 + -174 Combine like terms: 174 + -174 = 0 0 + -11k = 69 + -174 -11k = 69 + -174 Combine like terms: 69 + -174 = -105 -11k = -105 Divide each side by '-11'. k = 9.545454545 Simplifying k = 9.545454545
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