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Simplifying 2 + 7k = -1k + 20 Reorder the terms: 2 + 7k = 20 + -1k Solving 2 + 7k = 20 + -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. 2 + 7k + k = 20 + -1k + k Combine like terms: 7k + k = 8k 2 + 8k = 20 + -1k + k Combine like terms: -1k + k = 0 2 + 8k = 20 + 0 2 + 8k = 20 Add '-2' to each side of the equation. 2 + -2 + 8k = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 8k = 20 + -2 8k = 20 + -2 Combine like terms: 20 + -2 = 18 8k = 18 Divide each side by '8'. k = 2.25 Simplifying k = 2.25
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