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Simplifying 2(k + 60) = -8k Reorder the terms: 2(60 + k) = -8k (60 * 2 + k * 2) = -8k (120 + 2k) = -8k Solving 120 + 2k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 120 + 2k + 8k = -8k + 8k Combine like terms: 2k + 8k = 10k 120 + 10k = -8k + 8k Combine like terms: -8k + 8k = 0 120 + 10k = 0 Add '-120' to each side of the equation. 120 + -120 + 10k = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 10k = 0 + -120 10k = 0 + -120 Combine like terms: 0 + -120 = -120 10k = -120 Divide each side by '10'. k = -12 Simplifying k = -12
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