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Simplifying 8z + -1z = -1 + 2z + -2 + -12 Combine like terms: 8z + -1z = 7z 7z = -1 + 2z + -2 + -12 Reorder the terms: 7z = -1 + -2 + -12 + 2z Combine like terms: -1 + -2 = -3 7z = -3 + -12 + 2z Combine like terms: -3 + -12 = -15 7z = -15 + 2z Solving 7z = -15 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7z + -2z = -15 + 2z + -2z Combine like terms: 7z + -2z = 5z 5z = -15 + 2z + -2z Combine like terms: 2z + -2z = 0 5z = -15 + 0 5z = -15 Divide each side by '5'. z = -3 Simplifying z = -3
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