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Simplifying -5(-8k + -18) + 20 = -9 + 18k + 15k Reorder the terms: -5(-18 + -8k) + 20 = -9 + 18k + 15k (-18 * -5 + -8k * -5) + 20 = -9 + 18k + 15k (90 + 40k) + 20 = -9 + 18k + 15k Reorder the terms: 90 + 20 + 40k = -9 + 18k + 15k Combine like terms: 90 + 20 = 110 110 + 40k = -9 + 18k + 15k Combine like terms: 18k + 15k = 33k 110 + 40k = -9 + 33k Solving 110 + 40k = -9 + 33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33k' to each side of the equation. 110 + 40k + -33k = -9 + 33k + -33k Combine like terms: 40k + -33k = 7k 110 + 7k = -9 + 33k + -33k Combine like terms: 33k + -33k = 0 110 + 7k = -9 + 0 110 + 7k = -9 Add '-110' to each side of the equation. 110 + -110 + 7k = -9 + -110 Combine like terms: 110 + -110 = 0 0 + 7k = -9 + -110 7k = -9 + -110 Combine like terms: -9 + -110 = -119 7k = -119 Divide each side by '7'. k = -17 Simplifying k = -17
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