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Simplifying 7k = 30 + k + -2k + 2 Reorder the terms: 7k = 30 + 2 + k + -2k Combine like terms: 30 + 2 = 32 7k = 32 + k + -2k Combine like terms: k + -2k = -1k 7k = 32 + -1k Solving 7k = 32 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 7k + k = 32 + -1k + k Combine like terms: 7k + k = 8k 8k = 32 + -1k + k Combine like terms: -1k + k = 0 8k = 32 + 0 8k = 32 Divide each side by '8'. k = 4 Simplifying k = 4
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