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Simplifying -43 = -7k + 6 Reorder the terms: -43 = 6 + -7k Solving -43 = 6 + -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. -43 + 7k = 6 + -7k + 7k Combine like terms: -7k + 7k = 0 -43 + 7k = 6 + 0 -43 + 7k = 6 Add '43' to each side of the equation. -43 + 43 + 7k = 6 + 43 Combine like terms: -43 + 43 = 0 0 + 7k = 6 + 43 7k = 6 + 43 Combine like terms: 6 + 43 = 49 7k = 49 Divide each side by '7'. k = 7 Simplifying k = 7
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