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Simplifying 12k + -5 = 11k + 5 + -1k Reorder the terms: -5 + 12k = 11k + 5 + -1k Reorder the terms: -5 + 12k = 5 + 11k + -1k Combine like terms: 11k + -1k = 10k -5 + 12k = 5 + 10k Solving -5 + 12k = 5 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -5 + 12k + -10k = 5 + 10k + -10k Combine like terms: 12k + -10k = 2k -5 + 2k = 5 + 10k + -10k Combine like terms: 10k + -10k = 0 -5 + 2k = 5 + 0 -5 + 2k = 5 Add '5' to each side of the equation. -5 + 5 + 2k = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2k = 5 + 5 2k = 5 + 5 Combine like terms: 5 + 5 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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