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Simplifying -3 + -18z + 9 = 27z + -24 + 4 Reorder the terms: -3 + 9 + -18z = 27z + -24 + 4 Combine like terms: -3 + 9 = 6 6 + -18z = 27z + -24 + 4 Reorder the terms: 6 + -18z = -24 + 4 + 27z Combine like terms: -24 + 4 = -20 6 + -18z = -20 + 27z Solving 6 + -18z = -20 + 27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27z' to each side of the equation. 6 + -18z + -27z = -20 + 27z + -27z Combine like terms: -18z + -27z = -45z 6 + -45z = -20 + 27z + -27z Combine like terms: 27z + -27z = 0 6 + -45z = -20 + 0 6 + -45z = -20 Add '-6' to each side of the equation. 6 + -6 + -45z = -20 + -6 Combine like terms: 6 + -6 = 0 0 + -45z = -20 + -6 -45z = -20 + -6 Combine like terms: -20 + -6 = -26 -45z = -26 Divide each side by '-45'. z = 0.5777777778 Simplifying z = 0.5777777778
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