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Simplifying 8z + 2 = 2z + -10 + -1z Reorder the terms: 2 + 8z = 2z + -10 + -1z Reorder the terms: 2 + 8z = -10 + 2z + -1z Combine like terms: 2z + -1z = 1z 2 + 8z = -10 + 1z Solving 2 + 8z = -10 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 2 + 8z + -1z = -10 + 1z + -1z Combine like terms: 8z + -1z = 7z 2 + 7z = -10 + 1z + -1z Combine like terms: 1z + -1z = 0 2 + 7z = -10 + 0 2 + 7z = -10 Add '-2' to each side of the equation. 2 + -2 + 7z = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 7z = -10 + -2 7z = -10 + -2 Combine like terms: -10 + -2 = -12 7z = -12 Divide each side by '7'. z = -1.714285714 Simplifying z = -1.714285714
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