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Simplifying -3 + 32z = 22z + 7 Reorder the terms: -3 + 32z = 7 + 22z Solving -3 + 32z = 7 + 22z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22z' to each side of the equation. -3 + 32z + -22z = 7 + 22z + -22z Combine like terms: 32z + -22z = 10z -3 + 10z = 7 + 22z + -22z Combine like terms: 22z + -22z = 0 -3 + 10z = 7 + 0 -3 + 10z = 7 Add '3' to each side of the equation. -3 + 3 + 10z = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 10z = 7 + 3 10z = 7 + 3 Combine like terms: 7 + 3 = 10 10z = 10 Divide each side by '10'. z = 1 Simplifying z = 1
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