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Simplifying 18 + 18z = 9(z + -18) Reorder the terms: 18 + 18z = 9(-18 + z) 18 + 18z = (-18 * 9 + z * 9) 18 + 18z = (-162 + 9z) Solving 18 + 18z = -162 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 18 + 18z + -9z = -162 + 9z + -9z Combine like terms: 18z + -9z = 9z 18 + 9z = -162 + 9z + -9z Combine like terms: 9z + -9z = 0 18 + 9z = -162 + 0 18 + 9z = -162 Add '-18' to each side of the equation. 18 + -18 + 9z = -162 + -18 Combine like terms: 18 + -18 = 0 0 + 9z = -162 + -18 9z = -162 + -18 Combine like terms: -162 + -18 = -180 9z = -180 Divide each side by '9'. z = -20 Simplifying z = -20
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