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Simplifying 5z + -9z = -2z + 2 + 4z Combine like terms: 5z + -9z = -4z -4z = -2z + 2 + 4z Reorder the terms: -4z = 2 + -2z + 4z Combine like terms: -2z + 4z = 2z -4z = 2 + 2z Solving -4z = 2 + 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. -4z + -2z = 2 + 2z + -2z Combine like terms: -4z + -2z = -6z -6z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -6z = 2 + 0 -6z = 2 Divide each side by '-6'. z = -0.3333333333 Simplifying z = -0.3333333333
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