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Simplifying 9 + 2z + -6 = 7z + 8 + -4z Reorder the terms: 9 + -6 + 2z = 7z + 8 + -4z Combine like terms: 9 + -6 = 3 3 + 2z = 7z + 8 + -4z Reorder the terms: 3 + 2z = 8 + 7z + -4z Combine like terms: 7z + -4z = 3z 3 + 2z = 8 + 3z Solving 3 + 2z = 8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 3 + 2z + -3z = 8 + 3z + -3z Combine like terms: 2z + -3z = -1z 3 + -1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + -1z = 8 + 0 3 + -1z = 8 Add '-3' to each side of the equation. 3 + -3 + -1z = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 8 + -3 -1z = 8 + -3 Combine like terms: 8 + -3 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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