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Simplifying 5z + 3(z + -9) = 0 Reorder the terms: 5z + 3(-9 + z) = 0 5z + (-9 * 3 + z * 3) = 0 5z + (-27 + 3z) = 0 Reorder the terms: -27 + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z -27 + 8z = 0 Solving -27 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 8z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 8z = 0 + 27 8z = 0 + 27 Combine like terms: 0 + 27 = 27 8z = 27 Divide each side by '8'. z = 3.375 Simplifying z = 3.375
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