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Simplifying 8z + 10 = 10z + 9 Reorder the terms: 10 + 8z = 10z + 9 Reorder the terms: 10 + 8z = 9 + 10z Solving 10 + 8z = 9 + 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. 10 + 8z + -10z = 9 + 10z + -10z Combine like terms: 8z + -10z = -2z 10 + -2z = 9 + 10z + -10z Combine like terms: 10z + -10z = 0 10 + -2z = 9 + 0 10 + -2z = 9 Add '-10' to each side of the equation. 10 + -10 + -2z = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = 9 + -10 -2z = 9 + -10 Combine like terms: 9 + -10 = -1 -2z = -1 Divide each side by '-2'. z = 0.5 Simplifying z = 0.5
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