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