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Simplifying 12z + -32 = 4z Reorder the terms: -32 + 12z = 4z Solving -32 + 12z = 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. -32 + 12z + -4z = 4z + -4z Combine like terms: 12z + -4z = 8z -32 + 8z = 4z + -4z Combine like terms: 4z + -4z = 0 -32 + 8z = 0 Add '32' to each side of the equation. -32 + 32 + 8z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8z = 0 + 32 8z = 0 + 32 Combine like terms: 0 + 32 = 32 8z = 32 Divide each side by '8'. z = 4 Simplifying z = 4
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