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Simplifying 9(5k + 6) = 30.5 + 7k Reorder the terms: 9(6 + 5k) = 30.5 + 7k (6 * 9 + 5k * 9) = 30.5 + 7k (54 + 45k) = 30.5 + 7k Solving 54 + 45k = 30.5 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 54 + 45k + -7k = 30.5 + 7k + -7k Combine like terms: 45k + -7k = 38k 54 + 38k = 30.5 + 7k + -7k Combine like terms: 7k + -7k = 0 54 + 38k = 30.5 + 0 54 + 38k = 30.5 Add '-54' to each side of the equation. 54 + -54 + 38k = 30.5 + -54 Combine like terms: 54 + -54 = 0 0 + 38k = 30.5 + -54 38k = 30.5 + -54 Combine like terms: 30.5 + -54 = -23.5 38k = -23.5 Divide each side by '38'. k = -0.6184210526 Simplifying k = -0.6184210526
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