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Simplifying 6 + 3z + -2 + z = 0 Reorder the terms: 6 + -2 + 3z + z = 0 Combine like terms: 6 + -2 = 4 4 + 3z + z = 0 Combine like terms: 3z + z = 4z 4 + 4z = 0 Solving 4 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4z = 0 + -4 4z = 0 + -4 Combine like terms: 0 + -4 = -4 4z = -4 Divide each side by '4'. z = -1 Simplifying z = -1
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