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Simplifying 2k + 6k + -7 = 7k + 8 Reorder the terms: -7 + 2k + 6k = 7k + 8 Combine like terms: 2k + 6k = 8k -7 + 8k = 7k + 8 Reorder the terms: -7 + 8k = 8 + 7k Solving -7 + 8k = 8 + 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. -7 + 8k + -7k = 8 + 7k + -7k Combine like terms: 8k + -7k = 1k -7 + 1k = 8 + 7k + -7k Combine like terms: 7k + -7k = 0 -7 + 1k = 8 + 0 -7 + 1k = 8 Add '7' to each side of the equation. -7 + 7 + 1k = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1k = 8 + 7 1k = 8 + 7 Combine like terms: 8 + 7 = 15 1k = 15 Divide each side by '1'. k = 15 Simplifying k = 15
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