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Simplifying -5(9k + 4) = 19 + 7k Reorder the terms: -5(4 + 9k) = 19 + 7k (4 * -5 + 9k * -5) = 19 + 7k (-20 + -45k) = 19 + 7k Solving -20 + -45k = 19 + 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 + -45k + -7k = 19 + 7k + -7k Combine like terms: -45k + -7k = -52k -20 + -52k = 19 + 7k + -7k Combine like terms: 7k + -7k = 0 -20 + -52k = 19 + 0 -20 + -52k = 19 Add '20' to each side of the equation. -20 + 20 + -52k = 19 + 20 Combine like terms: -20 + 20 = 0 0 + -52k = 19 + 20 -52k = 19 + 20 Combine like terms: 19 + 20 = 39 -52k = 39 Divide each side by '-52'. k = -0.75 Simplifying k = -0.75
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