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Simplifying 7(k + -6) = 42 Reorder the terms: 7(-6 + k) = 42 (-6 * 7 + k * 7) = 42 (-42 + 7k) = 42 Solving -42 + 7k = 42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7k = 42 + 42 Combine like terms: -42 + 42 = 0 0 + 7k = 42 + 42 7k = 42 + 42 Combine like terms: 42 + 42 = 84 7k = 84 Divide each side by '7'. k = 12 Simplifying k = 12
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