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Simplifying 5k + 21 = 17k + -3 Reorder the terms: 21 + 5k = 17k + -3 Reorder the terms: 21 + 5k = -3 + 17k Solving 21 + 5k = -3 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 21 + 5k + -17k = -3 + 17k + -17k Combine like terms: 5k + -17k = -12k 21 + -12k = -3 + 17k + -17k Combine like terms: 17k + -17k = 0 21 + -12k = -3 + 0 21 + -12k = -3 Add '-21' to each side of the equation. 21 + -21 + -12k = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -12k = -3 + -21 -12k = -3 + -21 Combine like terms: -3 + -21 = -24 -12k = -24 Divide each side by '-12'. k = 2 Simplifying k = 2
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