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Simplifying 4k + 4 + 5k = 16 + k + -8 + 4k Reorder the terms: 4 + 4k + 5k = 16 + k + -8 + 4k Combine like terms: 4k + 5k = 9k 4 + 9k = 16 + k + -8 + 4k Reorder the terms: 4 + 9k = 16 + -8 + k + 4k Combine like terms: 16 + -8 = 8 4 + 9k = 8 + k + 4k Combine like terms: k + 4k = 5k 4 + 9k = 8 + 5k Solving 4 + 9k = 8 + 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 + 9k + -5k = 8 + 5k + -5k Combine like terms: 9k + -5k = 4k 4 + 4k = 8 + 5k + -5k Combine like terms: 5k + -5k = 0 4 + 4k = 8 + 0 4 + 4k = 8 Add '-4' to each side of the equation. 4 + -4 + 4k = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 8 + -4 4k = 8 + -4 Combine like terms: 8 + -4 = 4 4k = 4 Divide each side by '4'. k = 1 Simplifying k = 1
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