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Simplifying 6 + -6k = 5k + -10 Reorder the terms: 6 + -6k = -10 + 5k Solving 6 + -6k = -10 + 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 + -6k + -5k = -10 + 5k + -5k Combine like terms: -6k + -5k = -11k 6 + -11k = -10 + 5k + -5k Combine like terms: 5k + -5k = 0 6 + -11k = -10 + 0 6 + -11k = -10 Add '-6' to each side of the equation. 6 + -6 + -11k = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -11k = -10 + -6 -11k = -10 + -6 Combine like terms: -10 + -6 = -16 -11k = -16 Divide each side by '-11'. k = 1.454545455 Simplifying k = 1.454545455
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