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Simplifying 5(1 + 6k) = 87 (1 * 5 + 6k * 5) = 87 (5 + 30k) = 87 Solving 5 + 30k = 87 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 30k = 87 + -5 Combine like terms: 5 + -5 = 0 0 + 30k = 87 + -5 30k = 87 + -5 Combine like terms: 87 + -5 = 82 30k = 82 Divide each side by '30'. k = 2.733333333 Simplifying k = 2.733333333
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