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Simplifying 4k + 5 = 11 + -2k Reorder the terms: 5 + 4k = 11 + -2k Solving 5 + 4k = 11 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 5 + 4k + 2k = 11 + -2k + 2k Combine like terms: 4k + 2k = 6k 5 + 6k = 11 + -2k + 2k Combine like terms: -2k + 2k = 0 5 + 6k = 11 + 0 5 + 6k = 11 Add '-5' to each side of the equation. 5 + -5 + 6k = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 6k = 11 + -5 6k = 11 + -5 Combine like terms: 11 + -5 = 6 6k = 6 Divide each side by '6'. k = 1 Simplifying k = 1
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