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