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Simplifying 100 + -5k + -20 = 7k + -20 Reorder the terms: 100 + -20 + -5k = 7k + -20 Combine like terms: 100 + -20 = 80 80 + -5k = 7k + -20 Reorder the terms: 80 + -5k = -20 + 7k Solving 80 + -5k = -20 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 80 + -5k + -7k = -20 + 7k + -7k Combine like terms: -5k + -7k = -12k 80 + -12k = -20 + 7k + -7k Combine like terms: 7k + -7k = 0 80 + -12k = -20 + 0 80 + -12k = -20 Add '-80' to each side of the equation. 80 + -80 + -12k = -20 + -80 Combine like terms: 80 + -80 = 0 0 + -12k = -20 + -80 -12k = -20 + -80 Combine like terms: -20 + -80 = -100 -12k = -100 Divide each side by '-12'. k = 8.333333333 Simplifying k = 8.333333333
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