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Simplifying 100[0.09(z + 5)] = 0 Reorder the terms: 100[0.09(5 + z)] = 0 100[(5 * 0.09 + z * 0.09)] = 0 100[(0.45 + 0.09z)] = 0 [0.45 * 100 + 0.09z * 100] = 0 [45 + 9z] = 0 Solving 45 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9z = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9z = 0 + -45 9z = 0 + -45 Combine like terms: 0 + -45 = -45 9z = -45 Divide each side by '9'. z = -5 Simplifying z = -5
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