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Simplifying 32k + 20k + 11k + -57k + 5k + -9 = 13 Reorder the terms: -9 + 32k + 20k + 11k + -57k + 5k = 13 Combine like terms: 32k + 20k = 52k -9 + 52k + 11k + -57k + 5k = 13 Combine like terms: 52k + 11k = 63k -9 + 63k + -57k + 5k = 13 Combine like terms: 63k + -57k = 6k -9 + 6k + 5k = 13 Combine like terms: 6k + 5k = 11k -9 + 11k = 13 Solving -9 + 11k = 13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 11k = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 11k = 13 + 9 11k = 13 + 9 Combine like terms: 13 + 9 = 22 11k = 22 Divide each side by '11'. k = 2 Simplifying k = 2
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