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Simplifying 8z + 2 + -1z = 1 + 6z + -7 Reorder the terms: 2 + 8z + -1z = 1 + 6z + -7 Combine like terms: 8z + -1z = 7z 2 + 7z = 1 + 6z + -7 Reorder the terms: 2 + 7z = 1 + -7 + 6z Combine like terms: 1 + -7 = -6 2 + 7z = -6 + 6z Solving 2 + 7z = -6 + 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. 2 + 7z + -6z = -6 + 6z + -6z Combine like terms: 7z + -6z = 1z 2 + 1z = -6 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + 1z = -6 + 0 2 + 1z = -6 Add '-2' to each side of the equation. 2 + -2 + 1z = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = -6 + -2 1z = -6 + -2 Combine like terms: -6 + -2 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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