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Simplifying 18k = -5(-4k + -15) + -17k Reorder the terms: 18k = -5(-15 + -4k) + -17k 18k = (-15 * -5 + -4k * -5) + -17k 18k = (75 + 20k) + -17k Combine like terms: 20k + -17k = 3k 18k = 75 + 3k Solving 18k = 75 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 18k + -3k = 75 + 3k + -3k Combine like terms: 18k + -3k = 15k 15k = 75 + 3k + -3k Combine like terms: 3k + -3k = 0 15k = 75 + 0 15k = 75 Divide each side by '15'. k = 5 Simplifying k = 5
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