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Simplifying -9z + 5z = 6z + 2 + -9z Combine like terms: -9z + 5z = -4z -4z = 6z + 2 + -9z Reorder the terms: -4z = 2 + 6z + -9z Combine like terms: 6z + -9z = -3z -4z = 2 + -3z Solving -4z = 2 + -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. -4z + 3z = 2 + -3z + 3z Combine like terms: -4z + 3z = -1z -1z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 -1z = 2 + 0 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2
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