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Simplifying -4(6 + -3k) = 7k + 26 (6 * -4 + -3k * -4) = 7k + 26 (-24 + 12k) = 7k + 26 Reorder the terms: -24 + 12k = 26 + 7k Solving -24 + 12k = 26 + 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. -24 + 12k + -7k = 26 + 7k + -7k Combine like terms: 12k + -7k = 5k -24 + 5k = 26 + 7k + -7k Combine like terms: 7k + -7k = 0 -24 + 5k = 26 + 0 -24 + 5k = 26 Add '24' to each side of the equation. -24 + 24 + 5k = 26 + 24 Combine like terms: -24 + 24 = 0 0 + 5k = 26 + 24 5k = 26 + 24 Combine like terms: 26 + 24 = 50 5k = 50 Divide each side by '5'. k = 10 Simplifying k = 10
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