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Simplifying 4z + -9z = 3z + -8 + -1z Combine like terms: 4z + -9z = -5z -5z = 3z + -8 + -1z Reorder the terms: -5z = -8 + 3z + -1z Combine like terms: 3z + -1z = 2z -5z = -8 + 2z Solving -5z = -8 + 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. -5z + -2z = -8 + 2z + -2z Combine like terms: -5z + -2z = -7z -7z = -8 + 2z + -2z Combine like terms: 2z + -2z = 0 -7z = -8 + 0 -7z = -8 Divide each side by '-7'. z = 1.142857143 Simplifying z = 1.142857143
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