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Simplifying 7k + 174 = 14k + 69 Reorder the terms: 174 + 7k = 14k + 69 Reorder the terms: 174 + 7k = 69 + 14k Solving 174 + 7k = 69 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 174 + 7k + -14k = 69 + 14k + -14k Combine like terms: 7k + -14k = -7k 174 + -7k = 69 + 14k + -14k Combine like terms: 14k + -14k = 0 174 + -7k = 69 + 0 174 + -7k = 69 Add '-174' to each side of the equation. 174 + -174 + -7k = 69 + -174 Combine like terms: 174 + -174 = 0 0 + -7k = 69 + -174 -7k = 69 + -174 Combine like terms: 69 + -174 = -105 -7k = -105 Divide each side by '-7'. k = 15 Simplifying k = 15
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