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Simplifying 100[0.05(z + 6)] = 0 Reorder the terms: 100[0.05(6 + z)] = 0 100[(6 * 0.05 + z * 0.05)] = 0 100[(0.3 + 0.05z)] = 0 [0.3 * 100 + 0.05z * 100] = 0 [30 + 5z] = 0 Solving 30 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5z = 0 + -30 5z = 0 + -30 Combine like terms: 0 + -30 = -30 5z = -30 Divide each side by '5'. z = -6 Simplifying z = -6
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