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Simplifying -1 + -5k + -7k = 15 + -6k + -8k Combine like terms: -5k + -7k = -12k -1 + -12k = 15 + -6k + -8k Combine like terms: -6k + -8k = -14k -1 + -12k = 15 + -14k Solving -1 + -12k = 15 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -1 + -12k + 14k = 15 + -14k + 14k Combine like terms: -12k + 14k = 2k -1 + 2k = 15 + -14k + 14k Combine like terms: -14k + 14k = 0 -1 + 2k = 15 + 0 -1 + 2k = 15 Add '1' to each side of the equation. -1 + 1 + 2k = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2k = 15 + 1 2k = 15 + 1 Combine like terms: 15 + 1 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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