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Simplifying 8z + 11z = 3z + 42 Combine like terms: 8z + 11z = 19z 19z = 3z + 42 Reorder the terms: 19z = 42 + 3z Solving 19z = 42 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 19z + -3z = 42 + 3z + -3z Combine like terms: 19z + -3z = 16z 16z = 42 + 3z + -3z Combine like terms: 3z + -3z = 0 16z = 42 + 0 16z = 42 Divide each side by '16'. z = 2.625 Simplifying z = 2.625
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