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Simplifying 100[0.05(z + 8)] = 0 Reorder the terms: 100[0.05(8 + z)] = 0 100[(8 * 0.05 + z * 0.05)] = 0 100[(0.4 + 0.05z)] = 0 [0.4 * 100 + 0.05z * 100] = 0 [40 + 5z] = 0 Solving 40 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 5z = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 5z = 0 + -40 5z = 0 + -40 Combine like terms: 0 + -40 = -40 5z = -40 Divide each side by '5'. z = -8 Simplifying z = -8
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