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Simplifying 39 + 7k = 8[k + 4] Reorder the terms: 39 + 7k = 8[4 + k] 39 + 7k = [4 * 8 + k * 8] 39 + 7k = [32 + 8k] Solving 39 + 7k = 32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 39 + 7k + -8k = 32 + 8k + -8k Combine like terms: 7k + -8k = -1k 39 + -1k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 39 + -1k = 32 + 0 39 + -1k = 32 Add '-39' to each side of the equation. 39 + -39 + -1k = 32 + -39 Combine like terms: 39 + -39 = 0 0 + -1k = 32 + -39 -1k = 32 + -39 Combine like terms: 32 + -39 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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