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Simplifying 6z + -1z = -1 + 2z + -3 + -2 Combine like terms: 6z + -1z = 5z 5z = -1 + 2z + -3 + -2 Reorder the terms: 5z = -1 + -3 + -2 + 2z Combine like terms: -1 + -3 = -4 5z = -4 + -2 + 2z Combine like terms: -4 + -2 = -6 5z = -6 + 2z Solving 5z = -6 + 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 = -6 + 2z + -2z Combine like terms: 5z + -2z = 3z 3z = -6 + 2z + -2z Combine like terms: 2z + -2z = 0 3z = -6 + 0 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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