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Simplifying 5(5k + 7) = -140 Reorder the terms: 5(7 + 5k) = -140 (7 * 5 + 5k * 5) = -140 (35 + 25k) = -140 Solving 35 + 25k = -140 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 25k = -140 + -35 Combine like terms: 35 + -35 = 0 0 + 25k = -140 + -35 25k = -140 + -35 Combine like terms: -140 + -35 = -175 25k = -175 Divide each side by '25'. k = -7 Simplifying k = -7
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