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Simplifying 3z + 8 = 10z + 9 Reorder the terms: 8 + 3z = 10z + 9 Reorder the terms: 8 + 3z = 9 + 10z Solving 8 + 3z = 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. 8 + 3z + -10z = 9 + 10z + -10z Combine like terms: 3z + -10z = -7z 8 + -7z = 9 + 10z + -10z Combine like terms: 10z + -10z = 0 8 + -7z = 9 + 0 8 + -7z = 9 Add '-8' to each side of the equation. 8 + -8 + -7z = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -7z = 9 + -8 -7z = 9 + -8 Combine like terms: 9 + -8 = 1 -7z = 1 Divide each side by '-7'. z = -0.1428571429 Simplifying z = -0.1428571429
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