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Simplifying 4z + 3(z + -6) = 0 Reorder the terms: 4z + 3(-6 + z) = 0 4z + (-6 * 3 + z * 3) = 0 4z + (-18 + 3z) = 0 Reorder the terms: -18 + 4z + 3z = 0 Combine like terms: 4z + 3z = 7z -18 + 7z = 0 Solving -18 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7z = 0 + 18 7z = 0 + 18 Combine like terms: 0 + 18 = 18 7z = 18 Divide each side by '7'. z = 2.571428571 Simplifying z = 2.571428571
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