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Simplifying 2z + 9 = 14 + -3z Reorder the terms: 9 + 2z = 14 + -3z Solving 9 + 2z = 14 + -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. 9 + 2z + 3z = 14 + -3z + 3z Combine like terms: 2z + 3z = 5z 9 + 5z = 14 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + 5z = 14 + 0 9 + 5z = 14 Add '-9' to each side of the equation. 9 + -9 + 5z = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = 14 + -9 5z = 14 + -9 Combine like terms: 14 + -9 = 5 5z = 5 Divide each side by '5'. z = 1 Simplifying z = 1
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