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Simplifying 10k + 3 = 8k + 27 Reorder the terms: 3 + 10k = 8k + 27 Reorder the terms: 3 + 10k = 27 + 8k Solving 3 + 10k = 27 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 3 + 10k + -8k = 27 + 8k + -8k Combine like terms: 10k + -8k = 2k 3 + 2k = 27 + 8k + -8k Combine like terms: 8k + -8k = 0 3 + 2k = 27 + 0 3 + 2k = 27 Add '-3' to each side of the equation. 3 + -3 + 2k = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = 27 + -3 2k = 27 + -3 Combine like terms: 27 + -3 = 24 2k = 24 Divide each side by '2'. k = 12 Simplifying k = 12
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