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Simplifying 6z + -9z = 4z + 3 + -5z Combine like terms: 6z + -9z = -3z -3z = 4z + 3 + -5z Reorder the terms: -3z = 3 + 4z + -5z Combine like terms: 4z + -5z = -1z -3z = 3 + -1z Solving -3z = 3 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -3z + z = 3 + -1z + z Combine like terms: -3z + z = -2z -2z = 3 + -1z + z Combine like terms: -1z + z = 0 -2z = 3 + 0 -2z = 3 Divide each side by '-2'. z = -1.5 Simplifying z = -1.5
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