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Simplifying 5(4k + -9) = 30 Reorder the terms: 5(-9 + 4k) = 30 (-9 * 5 + 4k * 5) = 30 (-45 + 20k) = 30 Solving -45 + 20k = 30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 20k = 30 + 45 Combine like terms: -45 + 45 = 0 0 + 20k = 30 + 45 20k = 30 + 45 Combine like terms: 30 + 45 = 75 20k = 75 Divide each side by '20'. k = 3.75 Simplifying k = 3.75
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