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Simplifying 7z + -1z = -2 + 3z + -2 + -2 Combine like terms: 7z + -1z = 6z 6z = -2 + 3z + -2 + -2 Reorder the terms: 6z = -2 + -2 + -2 + 3z Combine like terms: -2 + -2 = -4 6z = -4 + -2 + 3z Combine like terms: -4 + -2 = -6 6z = -6 + 3z Solving 6z = -6 + 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 = -6 + 3z + -3z Combine like terms: 6z + -3z = 3z 3z = -6 + 3z + -3z Combine like terms: 3z + -3z = 0 3z = -6 + 0 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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