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Simplifying -5(3 + -4k) = 18k + 5 (3 * -5 + -4k * -5) = 18k + 5 (-15 + 20k) = 18k + 5 Reorder the terms: -15 + 20k = 5 + 18k Solving -15 + 20k = 5 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -15 + 20k + -18k = 5 + 18k + -18k Combine like terms: 20k + -18k = 2k -15 + 2k = 5 + 18k + -18k Combine like terms: 18k + -18k = 0 -15 + 2k = 5 + 0 -15 + 2k = 5 Add '15' to each side of the equation. -15 + 15 + 2k = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 2k = 5 + 15 2k = 5 + 15 Combine like terms: 5 + 15 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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