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Simplifying 24 + 12z + 6k + -3z + -3k = -23 Reorder the terms: 24 + 6k + -3k + 12z + -3z = -23 Combine like terms: 6k + -3k = 3k 24 + 3k + 12z + -3z = -23 Combine like terms: 12z + -3z = 9z 24 + 3k + 9z = -23 Solving 24 + 3k + 9z = -23 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 + 3k + -24 + 9z = -23 + -24 Reorder the terms: 24 + -24 + 3k + 9z = -23 + -24 Combine like terms: 24 + -24 = 0 0 + 3k + 9z = -23 + -24 3k + 9z = -23 + -24 Combine like terms: -23 + -24 = -47 3k + 9z = -47 Add '-9z' to each side of the equation. 3k + 9z + -9z = -47 + -9z Combine like terms: 9z + -9z = 0 3k + 0 = -47 + -9z 3k = -47 + -9z Divide each side by '3'. k = -15.66666667 + -3z Simplifying k = -15.66666667 + -3z
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