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Simplifying 5z + 7 + -2z = 32 + -2z Reorder the terms: 7 + 5z + -2z = 32 + -2z Combine like terms: 5z + -2z = 3z 7 + 3z = 32 + -2z Solving 7 + 3z = 32 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 7 + 3z + 2z = 32 + -2z + 2z Combine like terms: 3z + 2z = 5z 7 + 5z = 32 + -2z + 2z Combine like terms: -2z + 2z = 0 7 + 5z = 32 + 0 7 + 5z = 32 Add '-7' to each side of the equation. 7 + -7 + 5z = 32 + -7 Combine like terms: 7 + -7 = 0 0 + 5z = 32 + -7 5z = 32 + -7 Combine like terms: 32 + -7 = 25 5z = 25 Divide each side by '5'. z = 5 Simplifying z = 5
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