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