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Simplifying 8z + 6 + -1z = 4 + 3z + 2 Reorder the terms: 6 + 8z + -1z = 4 + 3z + 2 Combine like terms: 8z + -1z = 7z 6 + 7z = 4 + 3z + 2 Reorder the terms: 6 + 7z = 4 + 2 + 3z Combine like terms: 4 + 2 = 6 6 + 7z = 6 + 3z Add '-6' to each side of the equation. 6 + -6 + 7z = 6 + -6 + 3z Combine like terms: 6 + -6 = 0 0 + 7z = 6 + -6 + 3z 7z = 6 + -6 + 3z Combine like terms: 6 + -6 = 0 7z = 0 + 3z 7z = 3z Solving 7z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7z + -3z = 3z + -3z Combine like terms: 7z + -3z = 4z 4z = 3z + -3z Combine like terms: 3z + -3z = 0 4z = 0 Divide each side by '4'. z = 0 Simplifying z = 0
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