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Simplifying 4k + 11 + 2k = -5 + -27k + -3 Reorder the terms: 11 + 4k + 2k = -5 + -27k + -3 Combine like terms: 4k + 2k = 6k 11 + 6k = -5 + -27k + -3 Reorder the terms: 11 + 6k = -5 + -3 + -27k Combine like terms: -5 + -3 = -8 11 + 6k = -8 + -27k Solving 11 + 6k = -8 + -27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27k' to each side of the equation. 11 + 6k + 27k = -8 + -27k + 27k Combine like terms: 6k + 27k = 33k 11 + 33k = -8 + -27k + 27k Combine like terms: -27k + 27k = 0 11 + 33k = -8 + 0 11 + 33k = -8 Add '-11' to each side of the equation. 11 + -11 + 33k = -8 + -11 Combine like terms: 11 + -11 = 0 0 + 33k = -8 + -11 33k = -8 + -11 Combine like terms: -8 + -11 = -19 33k = -19 Divide each side by '33'. k = -0.5757575758 Simplifying k = -0.5757575758
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