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Simplifying 9(5 + -9z) = -1z (5 * 9 + -9z * 9) = -1z (45 + -81z) = -1z Solving 45 + -81z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 45 + -81z + z = -1z + z Combine like terms: -81z + z = -80z 45 + -80z = -1z + z Combine like terms: -1z + z = 0 45 + -80z = 0 Add '-45' to each side of the equation. 45 + -45 + -80z = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -80z = 0 + -45 -80z = 0 + -45 Combine like terms: 0 + -45 = -45 -80z = -45 Divide each side by '-80'. z = 0.5625 Simplifying z = 0.5625
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