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Simplifying 100[0.06(z + 3)] = 0 Reorder the terms: 100[0.06(3 + z)] = 0 100[(3 * 0.06 + z * 0.06)] = 0 100[(0.18 + 0.06z)] = 0 [0.18 * 100 + 0.06z * 100] = 0 [18 + 6z] = 0 Solving 18 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6z = 0 + -18 6z = 0 + -18 Combine like terms: 0 + -18 = -18 6z = -18 Divide each side by '6'. z = -3 Simplifying z = -3
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