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Simplifying 31 = 7k + -4 Reorder the terms: 31 = -4 + 7k Solving 31 = -4 + 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. 31 + -7k = -4 + 7k + -7k Combine like terms: 7k + -7k = 0 31 + -7k = -4 + 0 31 + -7k = -4 Add '-31' to each side of the equation. 31 + -31 + -7k = -4 + -31 Combine like terms: 31 + -31 = 0 0 + -7k = -4 + -31 -7k = -4 + -31 Combine like terms: -4 + -31 = -35 -7k = -35 Divide each side by '-7'. k = 5 Simplifying k = 5
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