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Simplifying 12z + -8 = 4z + 32 Reorder the terms: -8 + 12z = 4z + 32 Reorder the terms: -8 + 12z = 32 + 4z Solving -8 + 12z = 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. -8 + 12z + -4z = 32 + 4z + -4z Combine like terms: 12z + -4z = 8z -8 + 8z = 32 + 4z + -4z Combine like terms: 4z + -4z = 0 -8 + 8z = 32 + 0 -8 + 8z = 32 Add '8' to each side of the equation. -8 + 8 + 8z = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8z = 32 + 8 8z = 32 + 8 Combine like terms: 32 + 8 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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