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Simplifying 6z + -7z = 4z + -9 + -1z Combine like terms: 6z + -7z = -1z -1z = 4z + -9 + -1z Reorder the terms: -1z = -9 + 4z + -1z Combine like terms: 4z + -1z = 3z -1z = -9 + 3z Solving -1z = -9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -1z + -3z = -9 + 3z + -3z Combine like terms: -1z + -3z = -4z -4z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 -4z = -9 + 0 -4z = -9 Divide each side by '-4'. z = 2.25 Simplifying z = 2.25
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