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Simplifying -2z + 9 = 2z + 3 + 8z Reorder the terms: 9 + -2z = 2z + 3 + 8z Reorder the terms: 9 + -2z = 3 + 2z + 8z Combine like terms: 2z + 8z = 10z 9 + -2z = 3 + 10z Solving 9 + -2z = 3 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 9 + -2z + -10z = 3 + 10z + -10z Combine like terms: -2z + -10z = -12z 9 + -12z = 3 + 10z + -10z Combine like terms: 10z + -10z = 0 9 + -12z = 3 + 0 9 + -12z = 3 Add '-9' to each side of the equation. 9 + -9 + -12z = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -12z = 3 + -9 -12z = 3 + -9 Combine like terms: 3 + -9 = -6 -12z = -6 Divide each side by '-12'. z = 0.5 Simplifying z = 0.5
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