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Simplifying 5z + 2 + -3z = 32 + -3z Reorder the terms: 2 + 5z + -3z = 32 + -3z Combine like terms: 5z + -3z = 2z 2 + 2z = 32 + -3z Solving 2 + 2z = 32 + -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. 2 + 2z + 3z = 32 + -3z + 3z Combine like terms: 2z + 3z = 5z 2 + 5z = 32 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + 5z = 32 + 0 2 + 5z = 32 Add '-2' to each side of the equation. 2 + -2 + 5z = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 32 + -2 5z = 32 + -2 Combine like terms: 32 + -2 = 30 5z = 30 Divide each side by '5'. z = 6 Simplifying z = 6
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