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Simplifying -2 + 12z + 14k + -3z + -2k + -22 = 0 Reorder the terms: -2 + -22 + 14k + -2k + 12z + -3z = 0 Combine like terms: -2 + -22 = -24 -24 + 14k + -2k + 12z + -3z = 0 Combine like terms: 14k + -2k = 12k -24 + 12k + 12z + -3z = 0 Combine like terms: 12z + -3z = 9z -24 + 12k + 9z = 0 Solving -24 + 12k + 9z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 12k + 24 + 9z = 0 + 24 Reorder the terms: -24 + 24 + 12k + 9z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12k + 9z = 0 + 24 12k + 9z = 0 + 24 Combine like terms: 0 + 24 = 24 12k + 9z = 24 Add '-9z' to each side of the equation. 12k + 9z + -9z = 24 + -9z Combine like terms: 9z + -9z = 0 12k + 0 = 24 + -9z 12k = 24 + -9z Divide each side by '12'. k = 2 + -0.75z Simplifying k = 2 + -0.75z
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