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Simplifying -4(5 + -3k) = 7k + 30 (5 * -4 + -3k * -4) = 7k + 30 (-20 + 12k) = 7k + 30 Reorder the terms: -20 + 12k = 30 + 7k Solving -20 + 12k = 30 + 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. -20 + 12k + -7k = 30 + 7k + -7k Combine like terms: 12k + -7k = 5k -20 + 5k = 30 + 7k + -7k Combine like terms: 7k + -7k = 0 -20 + 5k = 30 + 0 -20 + 5k = 30 Add '20' to each side of the equation. -20 + 20 + 5k = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 5k = 30 + 20 5k = 30 + 20 Combine like terms: 30 + 20 = 50 5k = 50 Divide each side by '5'. k = 10 Simplifying k = 10
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