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Simplifying 7 + -6k + -2k = 10k + -7k Combine like terms: -6k + -2k = -8k 7 + -8k = 10k + -7k Combine like terms: 10k + -7k = 3k 7 + -8k = 3k Solving 7 + -8k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 7 + -8k + -3k = 3k + -3k Combine like terms: -8k + -3k = -11k 7 + -11k = 3k + -3k Combine like terms: 3k + -3k = 0 7 + -11k = 0 Add '-7' to each side of the equation. 7 + -7 + -11k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11k = 0 + -7 -11k = 0 + -7 Combine like terms: 0 + -7 = -7 -11k = -7 Divide each side by '-11'. k = 0.6363636364 Simplifying k = 0.6363636364
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