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Simplifying -6 + -5k + -6k = 5 + -5k + -6 Combine like terms: -5k + -6k = -11k -6 + -11k = 5 + -5k + -6 Reorder the terms: -6 + -11k = 5 + -6 + -5k Combine like terms: 5 + -6 = -1 -6 + -11k = -1 + -5k Solving -6 + -11k = -1 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -6 + -11k + 5k = -1 + -5k + 5k Combine like terms: -11k + 5k = -6k -6 + -6k = -1 + -5k + 5k Combine like terms: -5k + 5k = 0 -6 + -6k = -1 + 0 -6 + -6k = -1 Add '6' to each side of the equation. -6 + 6 + -6k = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -6k = -1 + 6 -6k = -1 + 6 Combine like terms: -1 + 6 = 5 -6k = 5 Divide each side by '-6'. k = -0.8333333333 Simplifying k = -0.8333333333
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