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Simplifying 21 = 1 + 3k + -8k Combine like terms: 3k + -8k = -5k 21 = 1 + -5k Solving 21 = 1 + -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 + 5k = 1 + -5k + 5k Combine like terms: -5k + 5k = 0 21 + 5k = 1 + 0 21 + 5k = 1 Add '-21' to each side of the equation. 21 + -21 + 5k = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 5k = 1 + -21 5k = 1 + -21 Combine like terms: 1 + -21 = -20 5k = -20 Divide each side by '5'. k = -4 Simplifying k = -4
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