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Simplifying 3z + 2 + -1z = 3 + z + 6 Reorder the terms: 2 + 3z + -1z = 3 + z + 6 Combine like terms: 3z + -1z = 2z 2 + 2z = 3 + z + 6 Reorder the terms: 2 + 2z = 3 + 6 + z Combine like terms: 3 + 6 = 9 2 + 2z = 9 + z Solving 2 + 2z = 9 + 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. 2 + 2z + -1z = 9 + z + -1z Combine like terms: 2z + -1z = 1z 2 + 1z = 9 + z + -1z Combine like terms: z + -1z = 0 2 + 1z = 9 + 0 2 + 1z = 9 Add '-2' to each side of the equation. 2 + -2 + 1z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 9 + -2 1z = 9 + -2 Combine like terms: 9 + -2 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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