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Simplifying 10k + 9 = -2k + 21 Reorder the terms: 9 + 10k = -2k + 21 Reorder the terms: 9 + 10k = 21 + -2k Solving 9 + 10k = 21 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 9 + 10k + 2k = 21 + -2k + 2k Combine like terms: 10k + 2k = 12k 9 + 12k = 21 + -2k + 2k Combine like terms: -2k + 2k = 0 9 + 12k = 21 + 0 9 + 12k = 21 Add '-9' to each side of the equation. 9 + -9 + 12k = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 12k = 21 + -9 12k = 21 + -9 Combine like terms: 21 + -9 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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