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Simplifying 9z + 4 = -5z + 32 Reorder the terms: 4 + 9z = -5z + 32 Reorder the terms: 4 + 9z = 32 + -5z Solving 4 + 9z = 32 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 4 + 9z + 5z = 32 + -5z + 5z Combine like terms: 9z + 5z = 14z 4 + 14z = 32 + -5z + 5z Combine like terms: -5z + 5z = 0 4 + 14z = 32 + 0 4 + 14z = 32 Add '-4' to each side of the equation. 4 + -4 + 14z = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 14z = 32 + -4 14z = 32 + -4 Combine like terms: 32 + -4 = 28 14z = 28 Divide each side by '14'. z = 2 Simplifying z = 2
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