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Simplifying 5z + 4(z + -8) = 0 Reorder the terms: 5z + 4(-8 + z) = 0 5z + (-8 * 4 + z * 4) = 0 5z + (-32 + 4z) = 0 Reorder the terms: -32 + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z -32 + 9z = 0 Solving -32 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 9z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 9z = 0 + 32 9z = 0 + 32 Combine like terms: 0 + 32 = 32 9z = 32 Divide each side by '9'. z = 3.555555556 Simplifying z = 3.555555556
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