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Simplifying -3 + -18z + -3 = 27z + -24 + 4 Reorder the terms: -3 + -3 + -18z = 27z + -24 + 4 Combine like terms: -3 + -3 = -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 = -14 -45z = -14 Divide each side by '-45'. z = 0.3111111111 Simplifying z = 0.3111111111
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