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