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Simplifying 42 = 9k + -2k Combine like terms: 9k + -2k = 7k 42 = 7k Solving 42 = 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. 42 + -7k = 7k + -7k Combine like terms: 7k + -7k = 0 42 + -7k = 0 Add '-42' to each side of the equation. 42 + -42 + -7k = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7k = 0 + -42 -7k = 0 + -42 Combine like terms: 0 + -42 = -42 -7k = -42 Divide each side by '-7'. k = 6 Simplifying k = 6
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