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Simplifying -7z + 9z = z + 8 + -3z Combine like terms: -7z + 9z = 2z 2z = z + 8 + -3z Reorder the terms: 2z = 8 + z + -3z Combine like terms: z + -3z = -2z 2z = 8 + -2z Solving 2z = 8 + -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. 2z + 2z = 8 + -2z + 2z Combine like terms: 2z + 2z = 4z 4z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 4z = 8 + 0 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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