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Simplifying 18z + 19 = 16z + 32 Reorder the terms: 19 + 18z = 16z + 32 Reorder the terms: 19 + 18z = 32 + 16z Solving 19 + 18z = 32 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 19 + 18z + -16z = 32 + 16z + -16z Combine like terms: 18z + -16z = 2z 19 + 2z = 32 + 16z + -16z Combine like terms: 16z + -16z = 0 19 + 2z = 32 + 0 19 + 2z = 32 Add '-19' to each side of the equation. 19 + -19 + 2z = 32 + -19 Combine like terms: 19 + -19 = 0 0 + 2z = 32 + -19 2z = 32 + -19 Combine like terms: 32 + -19 = 13 2z = 13 Divide each side by '2'. z = 6.5 Simplifying z = 6.5
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