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Simplifying 5(2 + 9z) = 0 (2 * 5 + 9z * 5) = 0 (10 + 45z) = 0 Solving 10 + 45z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 45z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 45z = 0 + -10 45z = 0 + -10 Combine like terms: 0 + -10 = -10 45z = -10 Divide each side by '45'. z = -0.2222222222 Simplifying z = -0.2222222222
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