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Simplifying 8 + 7z + -1 = 9z + 12 + -7z Reorder the terms: 8 + -1 + 7z = 9z + 12 + -7z Combine like terms: 8 + -1 = 7 7 + 7z = 9z + 12 + -7z Reorder the terms: 7 + 7z = 12 + 9z + -7z Combine like terms: 9z + -7z = 2z 7 + 7z = 12 + 2z Solving 7 + 7z = 12 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7 + 7z + -2z = 12 + 2z + -2z Combine like terms: 7z + -2z = 5z 7 + 5z = 12 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 5z = 12 + 0 7 + 5z = 12 Add '-7' to each side of the equation. 7 + -7 + 5z = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 5z = 12 + -7 5z = 12 + -7 Combine like terms: 12 + -7 = 5 5z = 5 Divide each side by '5'. z = 1 Simplifying z = 1
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