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Simplifying 8k + -21 = 5k Reorder the terms: -21 + 8k = 5k Solving -21 + 8k = 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. -21 + 8k + -5k = 5k + -5k Combine like terms: 8k + -5k = 3k -21 + 3k = 5k + -5k Combine like terms: 5k + -5k = 0 -21 + 3k = 0 Add '21' to each side of the equation. -21 + 21 + 3k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3k = 0 + 21 3k = 0 + 21 Combine like terms: 0 + 21 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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