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Simplifying 4k + -16 + -5 = 5k + -21 + -9k Reorder the terms: -16 + -5 + 4k = 5k + -21 + -9k Combine like terms: -16 + -5 = -21 -21 + 4k = 5k + -21 + -9k Reorder the terms: -21 + 4k = -21 + 5k + -9k Combine like terms: 5k + -9k = -4k -21 + 4k = -21 + -4k Add '21' to each side of the equation. -21 + 21 + 4k = -21 + 21 + -4k Combine like terms: -21 + 21 = 0 0 + 4k = -21 + 21 + -4k 4k = -21 + 21 + -4k Combine like terms: -21 + 21 = 0 4k = 0 + -4k 4k = -4k Solving 4k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 4k + 4k = -4k + 4k Combine like terms: 4k + 4k = 8k 8k = -4k + 4k Combine like terms: -4k + 4k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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