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Simplifying 3 + 5z + -1 = 9z + 4 + -2z Reorder the terms: 3 + -1 + 5z = 9z + 4 + -2z Combine like terms: 3 + -1 = 2 2 + 5z = 9z + 4 + -2z Reorder the terms: 2 + 5z = 4 + 9z + -2z Combine like terms: 9z + -2z = 7z 2 + 5z = 4 + 7z Solving 2 + 5z = 4 + 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. 2 + 5z + -7z = 4 + 7z + -7z Combine like terms: 5z + -7z = -2z 2 + -2z = 4 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -2z = 4 + 0 2 + -2z = 4 Add '-2' to each side of the equation. 2 + -2 + -2z = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = 4 + -2 -2z = 4 + -2 Combine like terms: 4 + -2 = 2 -2z = 2 Divide each side by '-2'. z = -1 Simplifying z = -1
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