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Simplifying -5k + 9k + -11 = 9 + 5k Reorder the terms: -11 + -5k + 9k = 9 + 5k Combine like terms: -5k + 9k = 4k -11 + 4k = 9 + 5k Solving -11 + 4k = 9 + 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. -11 + 4k + -5k = 9 + 5k + -5k Combine like terms: 4k + -5k = -1k -11 + -1k = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 -11 + -1k = 9 + 0 -11 + -1k = 9 Add '11' to each side of the equation. -11 + 11 + -1k = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -1k = 9 + 11 -1k = 9 + 11 Combine like terms: 9 + 11 = 20 -1k = 20 Divide each side by '-1'. k = -20 Simplifying k = -20
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