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Simplifying 3k + 21 + -6k = 25 + -5k + 3 Reorder the terms: 21 + 3k + -6k = 25 + -5k + 3 Combine like terms: 3k + -6k = -3k 21 + -3k = 25 + -5k + 3 Reorder the terms: 21 + -3k = 25 + 3 + -5k Combine like terms: 25 + 3 = 28 21 + -3k = 28 + -5k Solving 21 + -3k = 28 + -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 + -3k + 5k = 28 + -5k + 5k Combine like terms: -3k + 5k = 2k 21 + 2k = 28 + -5k + 5k Combine like terms: -5k + 5k = 0 21 + 2k = 28 + 0 21 + 2k = 28 Add '-21' to each side of the equation. 21 + -21 + 2k = 28 + -21 Combine like terms: 21 + -21 = 0 0 + 2k = 28 + -21 2k = 28 + -21 Combine like terms: 28 + -21 = 7 2k = 7 Divide each side by '2'. k = 3.5 Simplifying k = 3.5
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