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Simplifying 8k + 10 + 3k = 6 + 7k Reorder the terms: 10 + 8k + 3k = 6 + 7k Combine like terms: 8k + 3k = 11k 10 + 11k = 6 + 7k Solving 10 + 11k = 6 + 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. 10 + 11k + -7k = 6 + 7k + -7k Combine like terms: 11k + -7k = 4k 10 + 4k = 6 + 7k + -7k Combine like terms: 7k + -7k = 0 10 + 4k = 6 + 0 10 + 4k = 6 Add '-10' to each side of the equation. 10 + -10 + 4k = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 4k = 6 + -10 4k = 6 + -10 Combine like terms: 6 + -10 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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