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Simplifying 7(7k + 6) = 91 Reorder the terms: 7(6 + 7k) = 91 (6 * 7 + 7k * 7) = 91 (42 + 49k) = 91 Solving 42 + 49k = 91 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 49k = 91 + -42 Combine like terms: 42 + -42 = 0 0 + 49k = 91 + -42 49k = 91 + -42 Combine like terms: 91 + -42 = 49 49k = 49 Divide each side by '49'. k = 1 Simplifying k = 1
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