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Simplifying -4(k + -5) = 2 + 5k Reorder the terms: -4(-5 + k) = 2 + 5k (-5 * -4 + k * -4) = 2 + 5k (20 + -4k) = 2 + 5k Solving 20 + -4k = 2 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 20 + -4k + -5k = 2 + 5k + -5k Combine like terms: -4k + -5k = -9k 20 + -9k = 2 + 5k + -5k Combine like terms: 5k + -5k = 0 20 + -9k = 2 + 0 20 + -9k = 2 Add '-20' to each side of the equation. 20 + -20 + -9k = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -9k = 2 + -20 -9k = 2 + -20 Combine like terms: 2 + -20 = -18 -9k = -18 Divide each side by '-9'. k = 2 Simplifying k = 2
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