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Simplifying 30 + 7k = 8(k + 4) Reorder the terms: 30 + 7k = 8(4 + k) 30 + 7k = (4 * 8 + k * 8) 30 + 7k = (32 + 8k) Solving 30 + 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. 30 + 7k + -8k = 32 + 8k + -8k Combine like terms: 7k + -8k = -1k 30 + -1k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 30 + -1k = 32 + 0 30 + -1k = 32 Add '-30' to each side of the equation. 30 + -30 + -1k = 32 + -30 Combine like terms: 30 + -30 = 0 0 + -1k = 32 + -30 -1k = 32 + -30 Combine like terms: 32 + -30 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2
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