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