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Simplifying 27z + -33 = 8z + 5 Reorder the terms: -33 + 27z = 8z + 5 Reorder the terms: -33 + 27z = 5 + 8z Solving -33 + 27z = 5 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -33 + 27z + -8z = 5 + 8z + -8z Combine like terms: 27z + -8z = 19z -33 + 19z = 5 + 8z + -8z Combine like terms: 8z + -8z = 0 -33 + 19z = 5 + 0 -33 + 19z = 5 Add '33' to each side of the equation. -33 + 33 + 19z = 5 + 33 Combine like terms: -33 + 33 = 0 0 + 19z = 5 + 33 19z = 5 + 33 Combine like terms: 5 + 33 = 38 19z = 38 Divide each side by '19'. z = 2 Simplifying z = 2
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