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Simplifying 3z + -11 = 13 + -5z Reorder the terms: -11 + 3z = 13 + -5z Solving -11 + 3z = 13 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -11 + 3z + 5z = 13 + -5z + 5z Combine like terms: 3z + 5z = 8z -11 + 8z = 13 + -5z + 5z Combine like terms: -5z + 5z = 0 -11 + 8z = 13 + 0 -11 + 8z = 13 Add '11' to each side of the equation. -11 + 11 + 8z = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 8z = 13 + 11 8z = 13 + 11 Combine like terms: 13 + 11 = 24 8z = 24 Divide each side by '8'. z = 3 Simplifying z = 3
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