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Simplifying 8(9k + 4) = 31 + 7k Reorder the terms: 8(4 + 9k) = 31 + 7k (4 * 8 + 9k * 8) = 31 + 7k (32 + 72k) = 31 + 7k Solving 32 + 72k = 31 + 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. 32 + 72k + -7k = 31 + 7k + -7k Combine like terms: 72k + -7k = 65k 32 + 65k = 31 + 7k + -7k Combine like terms: 7k + -7k = 0 32 + 65k = 31 + 0 32 + 65k = 31 Add '-32' to each side of the equation. 32 + -32 + 65k = 31 + -32 Combine like terms: 32 + -32 = 0 0 + 65k = 31 + -32 65k = 31 + -32 Combine like terms: 31 + -32 = -1 65k = -1 Divide each side by '65'. k = -0.01538461538 Simplifying k = -0.01538461538
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