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Simplifying 8(k + 4) + -7k = 38 Reorder the terms: 8(4 + k) + -7k = 38 (4 * 8 + k * 8) + -7k = 38 (32 + 8k) + -7k = 38 Combine like terms: 8k + -7k = 1k 32 + 1k = 38 Solving 32 + 1k = 38 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1k = 38 + -32 Combine like terms: 32 + -32 = 0 0 + 1k = 38 + -32 1k = 38 + -32 Combine like terms: 38 + -32 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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