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Simplifying 3z + 2 + (-5z) + 6 = 0 Reorder the terms: 2 + 6 + 3z + (-5z) = 0 Combine like terms: 2 + 6 = 8 8 + 3z + (-5z) = 0 Combine like terms: 3z + (-5z) = -2z 8 + -2z = 0 Solving 8 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = 0 + -8 -2z = 0 + -8 Combine like terms: 0 + -8 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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