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Simplifying 10 + 7 + -8k + 7k = 6k + -1 + -3 Combine like terms: 10 + 7 = 17 17 + -8k + 7k = 6k + -1 + -3 Combine like terms: -8k + 7k = -1k 17 + -1k = 6k + -1 + -3 Reorder the terms: 17 + -1k = -1 + -3 + 6k Combine like terms: -1 + -3 = -4 17 + -1k = -4 + 6k Solving 17 + -1k = -4 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 17 + -1k + -6k = -4 + 6k + -6k Combine like terms: -1k + -6k = -7k 17 + -7k = -4 + 6k + -6k Combine like terms: 6k + -6k = 0 17 + -7k = -4 + 0 17 + -7k = -4 Add '-17' to each side of the equation. 17 + -17 + -7k = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -7k = -4 + -17 -7k = -4 + -17 Combine like terms: -4 + -17 = -21 -7k = -21 Divide each side by '-7'. k = 3 Simplifying k = 3
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