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Simplifying -5(-4k + 7) = 40 + -5k Reorder the terms: -5(7 + -4k) = 40 + -5k (7 * -5 + -4k * -5) = 40 + -5k (-35 + 20k) = 40 + -5k Solving -35 + 20k = 40 + -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. -35 + 20k + 5k = 40 + -5k + 5k Combine like terms: 20k + 5k = 25k -35 + 25k = 40 + -5k + 5k Combine like terms: -5k + 5k = 0 -35 + 25k = 40 + 0 -35 + 25k = 40 Add '35' to each side of the equation. -35 + 35 + 25k = 40 + 35 Combine like terms: -35 + 35 = 0 0 + 25k = 40 + 35 25k = 40 + 35 Combine like terms: 40 + 35 = 75 25k = 75 Divide each side by '25'. k = 3 Simplifying k = 3
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