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Simplifying 5k + 300 = -213 + -52k Reorder the terms: 300 + 5k = -213 + -52k Solving 300 + 5k = -213 + -52k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '52k' to each side of the equation. 300 + 5k + 52k = -213 + -52k + 52k Combine like terms: 5k + 52k = 57k 300 + 57k = -213 + -52k + 52k Combine like terms: -52k + 52k = 0 300 + 57k = -213 + 0 300 + 57k = -213 Add '-300' to each side of the equation. 300 + -300 + 57k = -213 + -300 Combine like terms: 300 + -300 = 0 0 + 57k = -213 + -300 57k = -213 + -300 Combine like terms: -213 + -300 = -513 57k = -513 Divide each side by '57'. k = -9 Simplifying k = -9
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