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Simplifying 7(k + 60) = 8k Reorder the terms: 7(60 + k) = 8k (60 * 7 + k * 7) = 8k (420 + 7k) = 8k Solving 420 + 7k = 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. 420 + 7k + -8k = 8k + -8k Combine like terms: 7k + -8k = -1k 420 + -1k = 8k + -8k Combine like terms: 8k + -8k = 0 420 + -1k = 0 Add '-420' to each side of the equation. 420 + -420 + -1k = 0 + -420 Combine like terms: 420 + -420 = 0 0 + -1k = 0 + -420 -1k = 0 + -420 Combine like terms: 0 + -420 = -420 -1k = -420 Divide each side by '-1'. k = 420 Simplifying k = 420
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