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Simplifying 2z + -3 = 32 + 9z Reorder the terms: -3 + 2z = 32 + 9z Solving -3 + 2z = 32 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -3 + 2z + -9z = 32 + 9z + -9z Combine like terms: 2z + -9z = -7z -3 + -7z = 32 + 9z + -9z Combine like terms: 9z + -9z = 0 -3 + -7z = 32 + 0 -3 + -7z = 32 Add '3' to each side of the equation. -3 + 3 + -7z = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -7z = 32 + 3 -7z = 32 + 3 Combine like terms: 32 + 3 = 35 -7z = 35 Divide each side by '-7'. z = -5 Simplifying z = -5
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