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Simplifying 18 + 12z = 9(z + 18) Reorder the terms: 18 + 12z = 9(18 + z) 18 + 12z = (18 * 9 + z * 9) 18 + 12z = (162 + 9z) Solving 18 + 12z = 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 + 12z + -9z = 162 + 9z + -9z Combine like terms: 12z + -9z = 3z 18 + 3z = 162 + 9z + -9z Combine like terms: 9z + -9z = 0 18 + 3z = 162 + 0 18 + 3z = 162 Add '-18' to each side of the equation. 18 + -18 + 3z = 162 + -18 Combine like terms: 18 + -18 = 0 0 + 3z = 162 + -18 3z = 162 + -18 Combine like terms: 162 + -18 = 144 3z = 144 Divide each side by '3'. z = 48 Simplifying z = 48
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