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Simplifying -9(3z + -6) = 35 + -5z Reorder the terms: -9(-6 + 3z) = 35 + -5z (-6 * -9 + 3z * -9) = 35 + -5z (54 + -27z) = 35 + -5z Solving 54 + -27z = 35 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 54 + -27z + 5z = 35 + -5z + 5z Combine like terms: -27z + 5z = -22z 54 + -22z = 35 + -5z + 5z Combine like terms: -5z + 5z = 0 54 + -22z = 35 + 0 54 + -22z = 35 Add '-54' to each side of the equation. 54 + -54 + -22z = 35 + -54 Combine like terms: 54 + -54 = 0 0 + -22z = 35 + -54 -22z = 35 + -54 Combine like terms: 35 + -54 = -19 -22z = -19 Divide each side by '-22'. z = 0.8636363636 Simplifying z = 0.8636363636
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