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Simplifying 3z + 5(z + -50) = 0 Reorder the terms: 3z + 5(-50 + z) = 0 3z + (-50 * 5 + z * 5) = 0 3z + (-250 + 5z) = 0 Reorder the terms: -250 + 3z + 5z = 0 Combine like terms: 3z + 5z = 8z -250 + 8z = 0 Solving -250 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + 8z = 0 + 250 Combine like terms: -250 + 250 = 0 0 + 8z = 0 + 250 8z = 0 + 250 Combine like terms: 0 + 250 = 250 8z = 250 Divide each side by '8'. z = 31.25 Simplifying z = 31.25
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