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Simplifying 4k + 4 + 2k = 14 + -11 + -5k Reorder the terms: 4 + 4k + 2k = 14 + -11 + -5k Combine like terms: 4k + 2k = 6k 4 + 6k = 14 + -11 + -5k Combine like terms: 14 + -11 = 3 4 + 6k = 3 + -5k Solving 4 + 6k = 3 + -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. 4 + 6k + 5k = 3 + -5k + 5k Combine like terms: 6k + 5k = 11k 4 + 11k = 3 + -5k + 5k Combine like terms: -5k + 5k = 0 4 + 11k = 3 + 0 4 + 11k = 3 Add '-4' to each side of the equation. 4 + -4 + 11k = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 11k = 3 + -4 11k = 3 + -4 Combine like terms: 3 + -4 = -1 11k = -1 Divide each side by '11'. k = -0.09090909091 Simplifying k = -0.09090909091
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