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Simplifying 4z + (3z + 6) = 0 Reorder the terms: 4z + (6 + 3z) = 0 Remove parenthesis around (6 + 3z) 4z + 6 + 3z = 0 Reorder the terms: 6 + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z 6 + 7z = 0 Solving 6 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7z = 0 + -6 7z = 0 + -6 Combine like terms: 0 + -6 = -6 7z = -6 Divide each side by '7'. z = -0.8571428571 Simplifying z = -0.8571428571
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