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Simplifying 6z + 16 = 4z + 33 Reorder the terms: 16 + 6z = 4z + 33 Reorder the terms: 16 + 6z = 33 + 4z Solving 16 + 6z = 33 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 16 + 6z + -4z = 33 + 4z + -4z Combine like terms: 6z + -4z = 2z 16 + 2z = 33 + 4z + -4z Combine like terms: 4z + -4z = 0 16 + 2z = 33 + 0 16 + 2z = 33 Add '-16' to each side of the equation. 16 + -16 + 2z = 33 + -16 Combine like terms: 16 + -16 = 0 0 + 2z = 33 + -16 2z = 33 + -16 Combine like terms: 33 + -16 = 17 2z = 17 Divide each side by '2'. z = 8.5 Simplifying z = 8.5
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