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Simplifying 6(1 + 2k) = 36 + 6k (1 * 6 + 2k * 6) = 36 + 6k (6 + 12k) = 36 + 6k Solving 6 + 12k = 36 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 6 + 12k + -6k = 36 + 6k + -6k Combine like terms: 12k + -6k = 6k 6 + 6k = 36 + 6k + -6k Combine like terms: 6k + -6k = 0 6 + 6k = 36 + 0 6 + 6k = 36 Add '-6' to each side of the equation. 6 + -6 + 6k = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 6k = 36 + -6 6k = 36 + -6 Combine like terms: 36 + -6 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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