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Simplifying 7z + -1z = -1 + 3z + -2 + -6 Combine like terms: 7z + -1z = 6z 6z = -1 + 3z + -2 + -6 Reorder the terms: 6z = -1 + -2 + -6 + 3z Combine like terms: -1 + -2 = -3 6z = -3 + -6 + 3z Combine like terms: -3 + -6 = -9 6z = -9 + 3z Solving 6z = -9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 6z + -3z = -9 + 3z + -3z Combine like terms: 6z + -3z = 3z 3z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 3z = -9 + 0 3z = -9 Divide each side by '3'. z = -3 Simplifying z = -3
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