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Simplifying 3(2z + 4) = 4z + 18 Reorder the terms: 3(4 + 2z) = 4z + 18 (4 * 3 + 2z * 3) = 4z + 18 (12 + 6z) = 4z + 18 Reorder the terms: 12 + 6z = 18 + 4z Solving 12 + 6z = 18 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 12 + 6z + -4z = 18 + 4z + -4z Combine like terms: 6z + -4z = 2z 12 + 2z = 18 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + 2z = 18 + 0 12 + 2z = 18 Add '-12' to each side of the equation. 12 + -12 + 2z = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 18 + -12 2z = 18 + -12 Combine like terms: 18 + -12 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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