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Simplifying 4z = 3(2z + 6) + 2z Reorder the terms: 4z = 3(6 + 2z) + 2z 4z = (6 * 3 + 2z * 3) + 2z 4z = (18 + 6z) + 2z Combine like terms: 6z + 2z = 8z 4z = 18 + 8z Solving 4z = 18 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4z + -8z = 18 + 8z + -8z Combine like terms: 4z + -8z = -4z -4z = 18 + 8z + -8z Combine like terms: 8z + -8z = 0 -4z = 18 + 0 -4z = 18 Divide each side by '-4'. z = -4.5 Simplifying z = -4.5
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