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Simplifying 5 + -7k = -1k + 20 Reorder the terms: 5 + -7k = 20 + -1k Solving 5 + -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. 5 + -7k + k = 20 + -1k + k Combine like terms: -7k + k = -6k 5 + -6k = 20 + -1k + k Combine like terms: -1k + k = 0 5 + -6k = 20 + 0 5 + -6k = 20 Add '-5' to each side of the equation. 5 + -5 + -6k = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 20 + -5 -6k = 20 + -5 Combine like terms: 20 + -5 = 15 -6k = 15 Divide each side by '-6'. k = -2.5 Simplifying k = -2.5
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