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Simplifying -4z + 20 = 3z + 9 Reorder the terms: 20 + -4z = 3z + 9 Reorder the terms: 20 + -4z = 9 + 3z Solving 20 + -4z = 9 + 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. 20 + -4z + -3z = 9 + 3z + -3z Combine like terms: -4z + -3z = -7z 20 + -7z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 20 + -7z = 9 + 0 20 + -7z = 9 Add '-20' to each side of the equation. 20 + -20 + -7z = 9 + -20 Combine like terms: 20 + -20 = 0 0 + -7z = 9 + -20 -7z = 9 + -20 Combine like terms: 9 + -20 = -11 -7z = -11 Divide each side by '-7'. z = 1.571428571 Simplifying z = 1.571428571
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