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Simplifying 8 + 6z = 2(2z + 6) Reorder the terms: 8 + 6z = 2(6 + 2z) 8 + 6z = (6 * 2 + 2z * 2) 8 + 6z = (12 + 4z) Solving 8 + 6z = 12 + 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. 8 + 6z + -4z = 12 + 4z + -4z Combine like terms: 6z + -4z = 2z 8 + 2z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 2z = 12 + 0 8 + 2z = 12 Add '-8' to each side of the equation. 8 + -8 + 2z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 12 + -8 2z = 12 + -8 Combine like terms: 12 + -8 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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