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Simplifying 8(k + 4) = 8 + 7k Reorder the terms: 8(4 + k) = 8 + 7k (4 * 8 + k * 8) = 8 + 7k (32 + 8k) = 8 + 7k Solving 32 + 8k = 8 + 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 + 8k + -7k = 8 + 7k + -7k Combine like terms: 8k + -7k = 1k 32 + 1k = 8 + 7k + -7k Combine like terms: 7k + -7k = 0 32 + 1k = 8 + 0 32 + 1k = 8 Add '-32' to each side of the equation. 32 + -32 + 1k = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 1k = 8 + -32 1k = 8 + -32 Combine like terms: 8 + -32 = -24 1k = -24 Divide each side by '1'. k = -24 Simplifying k = -24
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