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Simplifying 6 + 2z + -3 = 9z + 8 + -2z Reorder the terms: 6 + -3 + 2z = 9z + 8 + -2z Combine like terms: 6 + -3 = 3 3 + 2z = 9z + 8 + -2z Reorder the terms: 3 + 2z = 8 + 9z + -2z Combine like terms: 9z + -2z = 7z 3 + 2z = 8 + 7z Solving 3 + 2z = 8 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 3 + 2z + -7z = 8 + 7z + -7z Combine like terms: 2z + -7z = -5z 3 + -5z = 8 + 7z + -7z Combine like terms: 7z + -7z = 0 3 + -5z = 8 + 0 3 + -5z = 8 Add '-3' to each side of the equation. 3 + -3 + -5z = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -5z = 8 + -3 -5z = 8 + -3 Combine like terms: 8 + -3 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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