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Simplifying 7k + 20 = 9k + 30 Reorder the terms: 20 + 7k = 9k + 30 Reorder the terms: 20 + 7k = 30 + 9k Solving 20 + 7k = 30 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 20 + 7k + -9k = 30 + 9k + -9k Combine like terms: 7k + -9k = -2k 20 + -2k = 30 + 9k + -9k Combine like terms: 9k + -9k = 0 20 + -2k = 30 + 0 20 + -2k = 30 Add '-20' to each side of the equation. 20 + -20 + -2k = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -2k = 30 + -20 -2k = 30 + -20 Combine like terms: 30 + -20 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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