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Simplifying -7z + -12 = 8 + -9z Reorder the terms: -12 + -7z = 8 + -9z Solving -12 + -7z = 8 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -12 + -7z + 9z = 8 + -9z + 9z Combine like terms: -7z + 9z = 2z -12 + 2z = 8 + -9z + 9z Combine like terms: -9z + 9z = 0 -12 + 2z = 8 + 0 -12 + 2z = 8 Add '12' to each side of the equation. -12 + 12 + 2z = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = 8 + 12 2z = 8 + 12 Combine like terms: 8 + 12 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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