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Simplifying 7 + -2k + -5k = 42 Combine like terms: -2k + -5k = -7k 7 + -7k = 42 Solving 7 + -7k = 42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -7k = 42 + -7 Combine like terms: 7 + -7 = 0 0 + -7k = 42 + -7 -7k = 42 + -7 Combine like terms: 42 + -7 = 35 -7k = 35 Divide each side by '-7'. k = -5 Simplifying k = -5
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