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Simplifying 32z + 11 + -28z = 50 + 2z + 1 Reorder the terms: 11 + 32z + -28z = 50 + 2z + 1 Combine like terms: 32z + -28z = 4z 11 + 4z = 50 + 2z + 1 Reorder the terms: 11 + 4z = 50 + 1 + 2z Combine like terms: 50 + 1 = 51 11 + 4z = 51 + 2z Solving 11 + 4z = 51 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 11 + 4z + -2z = 51 + 2z + -2z Combine like terms: 4z + -2z = 2z 11 + 2z = 51 + 2z + -2z Combine like terms: 2z + -2z = 0 11 + 2z = 51 + 0 11 + 2z = 51 Add '-11' to each side of the equation. 11 + -11 + 2z = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 2z = 51 + -11 2z = 51 + -11 Combine like terms: 51 + -11 = 40 2z = 40 Divide each side by '2'. z = 20 Simplifying z = 20
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