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Simplifying 7z + -1z = -1 + 2z + -1 + -6 Combine like terms: 7z + -1z = 6z 6z = -1 + 2z + -1 + -6 Reorder the terms: 6z = -1 + -1 + -6 + 2z Combine like terms: -1 + -1 = -2 6z = -2 + -6 + 2z Combine like terms: -2 + -6 = -8 6z = -8 + 2z Solving 6z = -8 + 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. 6z + -2z = -8 + 2z + -2z Combine like terms: 6z + -2z = 4z 4z = -8 + 2z + -2z Combine like terms: 2z + -2z = 0 4z = -8 + 0 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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