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Simplifying 6z + -1z = -1 + 2z + -1 + -1 Combine like terms: 6z + -1z = 5z 5z = -1 + 2z + -1 + -1 Reorder the terms: 5z = -1 + -1 + -1 + 2z Combine like terms: -1 + -1 = -2 5z = -2 + -1 + 2z Combine like terms: -2 + -1 = -3 5z = -3 + 2z Solving 5z = -3 + 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. 5z + -2z = -3 + 2z + -2z Combine like terms: 5z + -2z = 3z 3z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 3z = -3 + 0 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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