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Simplifying 8z + -12 = 2 + 6z Reorder the terms: -12 + 8z = 2 + 6z Solving -12 + 8z = 2 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -12 + 8z + -6z = 2 + 6z + -6z Combine like terms: 8z + -6z = 2z -12 + 2z = 2 + 6z + -6z Combine like terms: 6z + -6z = 0 -12 + 2z = 2 + 0 -12 + 2z = 2 Add '12' to each side of the equation. -12 + 12 + 2z = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 2z = 2 + 12 2z = 2 + 12 Combine like terms: 2 + 12 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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