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Simplifying 6(5k + 2) = 12 + k Reorder the terms: 6(2 + 5k) = 12 + k (2 * 6 + 5k * 6) = 12 + k (12 + 30k) = 12 + k Add '-12' to each side of the equation. 12 + -12 + 30k = 12 + -12 + k Combine like terms: 12 + -12 = 0 0 + 30k = 12 + -12 + k 30k = 12 + -12 + k Combine like terms: 12 + -12 = 0 30k = 0 + k 30k = k Solving 30k = 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. 30k + -1k = k + -1k Combine like terms: 30k + -1k = 29k 29k = k + -1k Combine like terms: k + -1k = 0 29k = 0 Divide each side by '29'. k = 0 Simplifying k = 0
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