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Simplifying 2 + -7k = k + 20 Reorder the terms: 2 + -7k = 20 + k Solving 2 + -7k = 20 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + -7k + -1k = 20 + k + -1k Combine like terms: -7k + -1k = -8k 2 + -8k = 20 + k + -1k Combine like terms: k + -1k = 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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