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Simplifying k + -7 = 5 + -8k + 7k Reorder the terms: -7 + k = 5 + -8k + 7k Combine like terms: -8k + 7k = -1k -7 + k = 5 + -1k Solving -7 + k = 5 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -7 + k + k = 5 + -1k + k Combine like terms: k + k = 2k -7 + 2k = 5 + -1k + k Combine like terms: -1k + k = 0 -7 + 2k = 5 + 0 -7 + 2k = 5 Add '7' to each side of the equation. -7 + 7 + 2k = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2k = 5 + 7 2k = 5 + 7 Combine like terms: 5 + 7 = 12 2k = 12 Divide each side by '2'. k = 6 Simplifying k = 6
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