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Simplifying 4(5k + 5) = -40 + 5k Reorder the terms: 4(5 + 5k) = -40 + 5k (5 * 4 + 5k * 4) = -40 + 5k (20 + 20k) = -40 + 5k Solving 20 + 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. 20 + 20k + -5k = -40 + 5k + -5k Combine like terms: 20k + -5k = 15k 20 + 15k = -40 + 5k + -5k Combine like terms: 5k + -5k = 0 20 + 15k = -40 + 0 20 + 15k = -40 Add '-20' to each side of the equation. 20 + -20 + 15k = -40 + -20 Combine like terms: 20 + -20 = 0 0 + 15k = -40 + -20 15k = -40 + -20 Combine like terms: -40 + -20 = -60 15k = -60 Divide each side by '15'. k = -4 Simplifying k = -4
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