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Simplifying 9z + 8 + -3z = 2 + 4z + 2 Reorder the terms: 8 + 9z + -3z = 2 + 4z + 2 Combine like terms: 9z + -3z = 6z 8 + 6z = 2 + 4z + 2 Reorder the terms: 8 + 6z = 2 + 2 + 4z Combine like terms: 2 + 2 = 4 8 + 6z = 4 + 4z Solving 8 + 6z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 8 + 6z + -4z = 4 + 4z + -4z Combine like terms: 6z + -4z = 2z 8 + 2z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 2z = 4 + 0 8 + 2z = 4 Add '-8' to each side of the equation. 8 + -8 + 2z = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 4 + -8 2z = 4 + -8 Combine like terms: 4 + -8 = -4 2z = -4 Divide each side by '2'. z = -2 Simplifying z = -2
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