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