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Simplifying 240 + 42k = 720 + 30k Solving 240 + 42k = 720 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 240 + 42k + -30k = 720 + 30k + -30k Combine like terms: 42k + -30k = 12k 240 + 12k = 720 + 30k + -30k Combine like terms: 30k + -30k = 0 240 + 12k = 720 + 0 240 + 12k = 720 Add '-240' to each side of the equation. 240 + -240 + 12k = 720 + -240 Combine like terms: 240 + -240 = 0 0 + 12k = 720 + -240 12k = 720 + -240 Combine like terms: 720 + -240 = 480 12k = 480 Divide each side by '12'. k = 40 Simplifying k = 40
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