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Simplifying 6(6k + 4) = 6(5k + 5) Reorder the terms: 6(4 + 6k) = 6(5k + 5) (4 * 6 + 6k * 6) = 6(5k + 5) (24 + 36k) = 6(5k + 5) Reorder the terms: 24 + 36k = 6(5 + 5k) 24 + 36k = (5 * 6 + 5k * 6) 24 + 36k = (30 + 30k) Solving 24 + 36k = 30 + 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. 24 + 36k + -30k = 30 + 30k + -30k Combine like terms: 36k + -30k = 6k 24 + 6k = 30 + 30k + -30k Combine like terms: 30k + -30k = 0 24 + 6k = 30 + 0 24 + 6k = 30 Add '-24' to each side of the equation. 24 + -24 + 6k = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 6k = 30 + -24 6k = 30 + -24 Combine like terms: 30 + -24 = 6 6k = 6 Divide each side by '6'. k = 1 Simplifying k = 1
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