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Simplifying 80 + -5k = 2k + -40 Reorder the terms: 80 + -5k = -40 + 2k Solving 80 + -5k = -40 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 80 + -5k + -2k = -40 + 2k + -2k Combine like terms: -5k + -2k = -7k 80 + -7k = -40 + 2k + -2k Combine like terms: 2k + -2k = 0 80 + -7k = -40 + 0 80 + -7k = -40 Add '-80' to each side of the equation. 80 + -80 + -7k = -40 + -80 Combine like terms: 80 + -80 = 0 0 + -7k = -40 + -80 -7k = -40 + -80 Combine like terms: -40 + -80 = -120 -7k = -120 Divide each side by '-7'. k = 17.14285714 Simplifying k = 17.14285714
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