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Simplifying 17 + k = 4k + 3k + -7 Reorder the terms: 17 + k = -7 + 4k + 3k Combine like terms: 4k + 3k = 7k 17 + k = -7 + 7k Solving 17 + k = -7 + 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. 17 + k + -7k = -7 + 7k + -7k Combine like terms: k + -7k = -6k 17 + -6k = -7 + 7k + -7k Combine like terms: 7k + -7k = 0 17 + -6k = -7 + 0 17 + -6k = -7 Add '-17' to each side of the equation. 17 + -17 + -6k = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -6k = -7 + -17 -6k = -7 + -17 Combine like terms: -7 + -17 = -24 -6k = -24 Divide each side by '-6'. k = 4 Simplifying k = 4
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