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Simplifying 5z + 10(8z + 10) = 0 Reorder the terms: 5z + 10(10 + 8z) = 0 5z + (10 * 10 + 8z * 10) = 0 5z + (100 + 80z) = 0 Reorder the terms: 100 + 5z + 80z = 0 Combine like terms: 5z + 80z = 85z 100 + 85z = 0 Solving 100 + 85z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 85z = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 85z = 0 + -100 85z = 0 + -100 Combine like terms: 0 + -100 = -100 85z = -100 Divide each side by '85'. z = -1.176470588 Simplifying z = -1.176470588
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