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Simplifying -4(6 + -5k) = 17k + 3 (6 * -4 + -5k * -4) = 17k + 3 (-24 + 20k) = 17k + 3 Reorder the terms: -24 + 20k = 3 + 17k Solving -24 + 20k = 3 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. -24 + 20k + -17k = 3 + 17k + -17k Combine like terms: 20k + -17k = 3k -24 + 3k = 3 + 17k + -17k Combine like terms: 17k + -17k = 0 -24 + 3k = 3 + 0 -24 + 3k = 3 Add '24' to each side of the equation. -24 + 24 + 3k = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 3k = 3 + 24 3k = 3 + 24 Combine like terms: 3 + 24 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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