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Simplifying z + 3 = 9 + -1z Reorder the terms: 3 + z = 9 + -1z Solving 3 + z = 9 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 3 + z + z = 9 + -1z + z Combine like terms: z + z = 2z 3 + 2z = 9 + -1z + z Combine like terms: -1z + z = 0 3 + 2z = 9 + 0 3 + 2z = 9 Add '-3' to each side of the equation. 3 + -3 + 2z = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2z = 9 + -3 2z = 9 + -3 Combine like terms: 9 + -3 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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