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Simplifying 5z + 8 = 3z + 16 Reorder the terms: 8 + 5z = 3z + 16 Reorder the terms: 8 + 5z = 16 + 3z Solving 8 + 5z = 16 + 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. 8 + 5z + -3z = 16 + 3z + -3z Combine like terms: 5z + -3z = 2z 8 + 2z = 16 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + 2z = 16 + 0 8 + 2z = 16 Add '-8' to each side of the equation. 8 + -8 + 2z = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 16 + -8 2z = 16 + -8 Combine like terms: 16 + -8 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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