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Simplifying 4z + 3(z + -8) = 0 Reorder the terms: 4z + 3(-8 + z) = 0 4z + (-8 * 3 + z * 3) = 0 4z + (-24 + 3z) = 0 Reorder the terms: -24 + 4z + 3z = 0 Combine like terms: 4z + 3z = 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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