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Simplifying 4 + 11k = 9 + -5k Solving 4 + 11k = 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. 4 + 11k + 5k = 9 + -5k + 5k Combine like terms: 11k + 5k = 16k 4 + 16k = 9 + -5k + 5k Combine like terms: -5k + 5k = 0 4 + 16k = 9 + 0 4 + 16k = 9 Add '-4' to each side of the equation. 4 + -4 + 16k = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 16k = 9 + -4 16k = 9 + -4 Combine like terms: 9 + -4 = 5 16k = 5 Divide each side by '16'. k = 0.3125 Simplifying k = 0.3125
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