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Simplifying 2 + -8k + -6 = 2 + 8k + -5k Reorder the terms: 2 + -6 + -8k = 2 + 8k + -5k Combine like terms: 2 + -6 = -4 -4 + -8k = 2 + 8k + -5k Combine like terms: 8k + -5k = 3k -4 + -8k = 2 + 3k Solving -4 + -8k = 2 + 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. -4 + -8k + -3k = 2 + 3k + -3k Combine like terms: -8k + -3k = -11k -4 + -11k = 2 + 3k + -3k Combine like terms: 3k + -3k = 0 -4 + -11k = 2 + 0 -4 + -11k = 2 Add '4' to each side of the equation. -4 + 4 + -11k = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -11k = 2 + 4 -11k = 2 + 4 Combine like terms: 2 + 4 = 6 -11k = 6 Divide each side by '-11'. k = -0.5454545455 Simplifying k = -0.5454545455
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