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Simplifying 9k + 33 = -2k Reorder the terms: 33 + 9k = -2k Solving 33 + 9k = -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. 33 + 9k + 2k = -2k + 2k Combine like terms: 9k + 2k = 11k 33 + 11k = -2k + 2k Combine like terms: -2k + 2k = 0 33 + 11k = 0 Add '-33' to each side of the equation. 33 + -33 + 11k = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 11k = 0 + -33 11k = 0 + -33 Combine like terms: 0 + -33 = -33 11k = -33 Divide each side by '11'. k = -3 Simplifying k = -3
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