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Simplifying 4z + 8 + 6z + -5 = 9z + 16 Reorder the terms: 8 + -5 + 4z + 6z = 9z + 16 Combine like terms: 8 + -5 = 3 3 + 4z + 6z = 9z + 16 Combine like terms: 4z + 6z = 10z 3 + 10z = 9z + 16 Reorder the terms: 3 + 10z = 16 + 9z Solving 3 + 10z = 16 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 3 + 10z + -9z = 16 + 9z + -9z Combine like terms: 10z + -9z = 1z 3 + 1z = 16 + 9z + -9z Combine like terms: 9z + -9z = 0 3 + 1z = 16 + 0 3 + 1z = 16 Add '-3' to each side of the equation. 3 + -3 + 1z = 16 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 16 + -3 1z = 16 + -3 Combine like terms: 16 + -3 = 13 1z = 13 Divide each side by '1'. z = 13 Simplifying z = 13
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