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Simplifying 9k + -13 = 20 + -2k Reorder the terms: -13 + 9k = 20 + -2k Solving -13 + 9k = 20 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -13 + 9k + 2k = 20 + -2k + 2k Combine like terms: 9k + 2k = 11k -13 + 11k = 20 + -2k + 2k Combine like terms: -2k + 2k = 0 -13 + 11k = 20 + 0 -13 + 11k = 20 Add '13' to each side of the equation. -13 + 13 + 11k = 20 + 13 Combine like terms: -13 + 13 = 0 0 + 11k = 20 + 13 11k = 20 + 13 Combine like terms: 20 + 13 = 33 11k = 33 Divide each side by '11'. k = 3 Simplifying k = 3
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