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Simplifying 4z + -5z = 9z + -7 + -3z Combine like terms: 4z + -5z = -1z -1z = 9z + -7 + -3z Reorder the terms: -1z = -7 + 9z + -3z Combine like terms: 9z + -3z = 6z -1z = -7 + 6z Solving -1z = -7 + 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 = -7 + 6z + -6z Combine like terms: -1z + -6z = -7z -7z = -7 + 6z + -6z Combine like terms: 6z + -6z = 0 -7z = -7 + 0 -7z = -7 Divide each side by '-7'. z = 1 Simplifying z = 1
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