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Simplifying 5k + -6 + 6k + -22 = 3 Reorder the terms: -6 + -22 + 5k + 6k = 3 Combine like terms: -6 + -22 = -28 -28 + 5k + 6k = 3 Combine like terms: 5k + 6k = 11k -28 + 11k = 3 Solving -28 + 11k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 11k = 3 + 28 Combine like terms: -28 + 28 = 0 0 + 11k = 3 + 28 11k = 3 + 28 Combine like terms: 3 + 28 = 31 11k = 31 Divide each side by '11'. k = 2.818181818 Simplifying k = 2.818181818
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