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Simplifying 6(k + 1) = 72 Reorder the terms: 6(1 + k) = 72 (1 * 6 + k * 6) = 72 (6 + 6k) = 72 Solving 6 + 6k = 72 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6k = 72 + -6 Combine like terms: 6 + -6 = 0 0 + 6k = 72 + -6 6k = 72 + -6 Combine like terms: 72 + -6 = 66 6k = 66 Divide each side by '6'. k = 11 Simplifying k = 11
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