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