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Simplifying 3z + -4z = 3z + -2 + -9z Combine like terms: 3z + -4z = -1z -1z = 3z + -2 + -9z Reorder the terms: -1z = -2 + 3z + -9z Combine like terms: 3z + -9z = -6z -1z = -2 + -6z Solving -1z = -2 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -1z + 6z = -2 + -6z + 6z Combine like terms: -1z + 6z = 5z 5z = -2 + -6z + 6z Combine like terms: -6z + 6z = 0 5z = -2 + 0 5z = -2 Divide each side by '5'. z = -0.4 Simplifying z = -0.4
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