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Simplifying 12k + 10.5 = k + 16 Reorder the terms: 10.5 + 12k = k + 16 Reorder the terms: 10.5 + 12k = 16 + k Solving 10.5 + 12k = 16 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 10.5 + 12k + -1k = 16 + k + -1k Combine like terms: 12k + -1k = 11k 10.5 + 11k = 16 + k + -1k Combine like terms: k + -1k = 0 10.5 + 11k = 16 + 0 10.5 + 11k = 16 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 11k = 16 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 11k = 16 + -10.5 11k = 16 + -10.5 Combine like terms: 16 + -10.5 = 5.5 11k = 5.5 Divide each side by '11'. k = 0.5 Simplifying k = 0.5
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