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Simplifying 32z + -5 = 10z + 8 Reorder the terms: -5 + 32z = 10z + 8 Reorder the terms: -5 + 32z = 8 + 10z Solving -5 + 32z = 8 + 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. -5 + 32z + -10z = 8 + 10z + -10z Combine like terms: 32z + -10z = 22z -5 + 22z = 8 + 10z + -10z Combine like terms: 10z + -10z = 0 -5 + 22z = 8 + 0 -5 + 22z = 8 Add '5' to each side of the equation. -5 + 5 + 22z = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 22z = 8 + 5 22z = 8 + 5 Combine like terms: 8 + 5 = 13 22z = 13 Divide each side by '22'. z = 0.5909090909 Simplifying z = 0.5909090909
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