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Simplifying 100[0.09(z + 4)] = 0 Reorder the terms: 100[0.09(4 + z)] = 0 100[(4 * 0.09 + z * 0.09)] = 0 100[(0.36 + 0.09z)] = 0 [0.36 * 100 + 0.09z * 100] = 0 [36 + 9z] = 0 Solving 36 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 9z = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 9z = 0 + -36 9z = 0 + -36 Combine like terms: 0 + -36 = -36 9z = -36 Divide each side by '9'. z = -4 Simplifying z = -4
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