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