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Simplifying 8(8k + 6) = -9 + 7k Reorder the terms: 8(6 + 8k) = -9 + 7k (6 * 8 + 8k * 8) = -9 + 7k (48 + 64k) = -9 + 7k Solving 48 + 64k = -9 + 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. 48 + 64k + -7k = -9 + 7k + -7k Combine like terms: 64k + -7k = 57k 48 + 57k = -9 + 7k + -7k Combine like terms: 7k + -7k = 0 48 + 57k = -9 + 0 48 + 57k = -9 Add '-48' to each side of the equation. 48 + -48 + 57k = -9 + -48 Combine like terms: 48 + -48 = 0 0 + 57k = -9 + -48 57k = -9 + -48 Combine like terms: -9 + -48 = -57 57k = -57 Divide each side by '57'. k = -1 Simplifying k = -1
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