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Simplifying -4z + 9 = 9 + 3z + 6 Reorder the terms: 9 + -4z = 9 + 3z + 6 Reorder the terms: 9 + -4z = 9 + 6 + 3z Combine like terms: 9 + 6 = 15 9 + -4z = 15 + 3z Solving 9 + -4z = 15 + 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. 9 + -4z + -3z = 15 + 3z + -3z Combine like terms: -4z + -3z = -7z 9 + -7z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + -7z = 15 + 0 9 + -7z = 15 Add '-9' to each side of the equation. 9 + -9 + -7z = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -7z = 15 + -9 -7z = 15 + -9 Combine like terms: 15 + -9 = 6 -7z = 6 Divide each side by '-7'. z = -0.8571428571 Simplifying z = -0.8571428571
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