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