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Simplifying 3k + 5 = 21 + -5k Reorder the terms: 5 + 3k = 21 + -5k Solving 5 + 3k = 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. 5 + 3k + 5k = 21 + -5k + 5k Combine like terms: 3k + 5k = 8k 5 + 8k = 21 + -5k + 5k Combine like terms: -5k + 5k = 0 5 + 8k = 21 + 0 5 + 8k = 21 Add '-5' to each side of the equation. 5 + -5 + 8k = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8k = 21 + -5 8k = 21 + -5 Combine like terms: 21 + -5 = 16 8k = 16 Divide each side by '8'. k = 2 Simplifying k = 2
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