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Simplifying 3z + 4 = 32 + -4z Reorder the terms: 4 + 3z = 32 + -4z Solving 4 + 3z = 32 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 4 + 3z + 4z = 32 + -4z + 4z Combine like terms: 3z + 4z = 7z 4 + 7z = 32 + -4z + 4z Combine like terms: -4z + 4z = 0 4 + 7z = 32 + 0 4 + 7z = 32 Add '-4' to each side of the equation. 4 + -4 + 7z = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 7z = 32 + -4 7z = 32 + -4 Combine like terms: 32 + -4 = 28 7z = 28 Divide each side by '7'. z = 4 Simplifying z = 4
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