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Simplifying 3z + 4(z + -6) = 0 Reorder the terms: 3z + 4(-6 + z) = 0 3z + (-6 * 4 + z * 4) = 0 3z + (-24 + 4z) = 0 Reorder the terms: -24 + 3z + 4z = 0 Combine like terms: 3z + 4z = 7z -24 + 7z = 0 Solving -24 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7z = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 7z = 0 + 24 7z = 0 + 24 Combine like terms: 0 + 24 = 24 7z = 24 Divide each side by '7'. z = 3.428571429 Simplifying z = 3.428571429
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