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Simplifying 8k + -9 = 5k + 21 Reorder the terms: -9 + 8k = 5k + 21 Reorder the terms: -9 + 8k = 21 + 5k Solving -9 + 8k = 21 + 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. -9 + 8k + -5k = 21 + 5k + -5k Combine like terms: 8k + -5k = 3k -9 + 3k = 21 + 5k + -5k Combine like terms: 5k + -5k = 0 -9 + 3k = 21 + 0 -9 + 3k = 21 Add '9' to each side of the equation. -9 + 9 + 3k = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 3k = 21 + 9 3k = 21 + 9 Combine like terms: 21 + 9 = 30 3k = 30 Divide each side by '3'. k = 10 Simplifying k = 10
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