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Simplifying 100[0.06(z + 9)] = 0 Reorder the terms: 100[0.06(9 + z)] = 0 100[(9 * 0.06 + z * 0.06)] = 0 100[(0.54 + 0.06z)] = 0 [0.54 * 100 + 0.06z * 100] = 0 [54 + 6z] = 0 Solving 54 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 6z = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 6z = 0 + -54 6z = 0 + -54 Combine like terms: 0 + -54 = -54 6z = -54 Divide each side by '6'. z = -9 Simplifying z = -9
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