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Simplifying 3(k + 5) = -25 + -5k Reorder the terms: 3(5 + k) = -25 + -5k (5 * 3 + k * 3) = -25 + -5k (15 + 3k) = -25 + -5k Solving 15 + 3k = -25 + -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. 15 + 3k + 5k = -25 + -5k + 5k Combine like terms: 3k + 5k = 8k 15 + 8k = -25 + -5k + 5k Combine like terms: -5k + 5k = 0 15 + 8k = -25 + 0 15 + 8k = -25 Add '-15' to each side of the equation. 15 + -15 + 8k = -25 + -15 Combine like terms: 15 + -15 = 0 0 + 8k = -25 + -15 8k = -25 + -15 Combine like terms: -25 + -15 = -40 8k = -40 Divide each side by '8'. k = -5 Simplifying k = -5
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