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Simplifying 3z + 5 + 2z = 13 + 3z Reorder the terms: 5 + 3z + 2z = 13 + 3z Combine like terms: 3z + 2z = 5z 5 + 5z = 13 + 3z Solving 5 + 5z = 13 + 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. 5 + 5z + -3z = 13 + 3z + -3z Combine like terms: 5z + -3z = 2z 5 + 2z = 13 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 2z = 13 + 0 5 + 2z = 13 Add '-5' to each side of the equation. 5 + -5 + 2z = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 13 + -5 2z = 13 + -5 Combine like terms: 13 + -5 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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