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Simplifying -12 = 8 + -1z + 12 Reorder the terms: -12 = 8 + 12 + -1z Combine like terms: 8 + 12 = 20 -12 = 20 + -1z Solving -12 = 20 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -12 + z = 20 + -1z + z Combine like terms: -1z + z = 0 -12 + z = 20 + 0 -12 + z = 20 Add '12' to each side of the equation. -12 + 12 + z = 20 + 12 Combine like terms: -12 + 12 = 0 0 + z = 20 + 12 z = 20 + 12 Combine like terms: 20 + 12 = 32 z = 32 Simplifying z = 32
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