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Simplifying 6k + 7.5 = k + 12 Reorder the terms: 7.5 + 6k = k + 12 Reorder the terms: 7.5 + 6k = 12 + k Solving 7.5 + 6k = 12 + 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. 7.5 + 6k + -1k = 12 + k + -1k Combine like terms: 6k + -1k = 5k 7.5 + 5k = 12 + k + -1k Combine like terms: k + -1k = 0 7.5 + 5k = 12 + 0 7.5 + 5k = 12 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 5k = 12 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 5k = 12 + -7.5 5k = 12 + -7.5 Combine like terms: 12 + -7.5 = 4.5 5k = 4.5 Divide each side by '5'. k = 0.9 Simplifying k = 0.9
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