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Simplifying 5(4k + -4) = -9(3 + -3k) Reorder the terms: 5(-4 + 4k) = -9(3 + -3k) (-4 * 5 + 4k * 5) = -9(3 + -3k) (-20 + 20k) = -9(3 + -3k) -20 + 20k = (3 * -9 + -3k * -9) -20 + 20k = (-27 + 27k) Solving -20 + 20k = -27 + 27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. -20 + 20k + -27k = -27 + 27k + -27k Combine like terms: 20k + -27k = -7k -20 + -7k = -27 + 27k + -27k Combine like terms: 27k + -27k = 0 -20 + -7k = -27 + 0 -20 + -7k = -27 Add '20' to each side of the equation. -20 + 20 + -7k = -27 + 20 Combine like terms: -20 + 20 = 0 0 + -7k = -27 + 20 -7k = -27 + 20 Combine like terms: -27 + 20 = -7 -7k = -7 Divide each side by '-7'. k = 1 Simplifying k = 1
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