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Simplifying 2 + -5z = 7z + -3 + -2 Reorder the terms: 2 + -5z = -3 + -2 + 7z Combine like terms: -3 + -2 = -5 2 + -5z = -5 + 7z Solving 2 + -5z = -5 + 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 = -5 + 7z + -7z Combine like terms: -5z + -7z = -12z 2 + -12z = -5 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -12z = -5 + 0 2 + -12z = -5 Add '-2' to each side of the equation. 2 + -2 + -12z = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -12z = -5 + -2 -12z = -5 + -2 Combine like terms: -5 + -2 = -7 -12z = -7 Divide each side by '-12'. z = 0.5833333333 Simplifying z = 0.5833333333
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