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Simplifying 6 + 3z + -2 = 8z + 4 + -4z Reorder the terms: 6 + -2 + 3z = 8z + 4 + -4z Combine like terms: 6 + -2 = 4 4 + 3z = 8z + 4 + -4z Reorder the terms: 4 + 3z = 4 + 8z + -4z Combine like terms: 8z + -4z = 4z 4 + 3z = 4 + 4z Add '-4' to each side of the equation. 4 + -4 + 3z = 4 + -4 + 4z Combine like terms: 4 + -4 = 0 0 + 3z = 4 + -4 + 4z 3z = 4 + -4 + 4z Combine like terms: 4 + -4 = 0 3z = 0 + 4z 3z = 4z Solving 3z = 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. 3z + -4z = 4z + -4z Combine like terms: 3z + -4z = -1z -1z = 4z + -4z Combine like terms: 4z + -4z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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