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Simplifying 7z + -3z = 7z + -1 + -1z Combine like terms: 7z + -3z = 4z 4z = 7z + -1 + -1z Reorder the terms: 4z = -1 + 7z + -1z Combine like terms: 7z + -1z = 6z 4z = -1 + 6z Solving 4z = -1 + 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. 4z + -6z = -1 + 6z + -6z Combine like terms: 4z + -6z = -2z -2z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 -2z = -1 + 0 -2z = -1 Divide each side by '-2'. z = 0.5 Simplifying z = 0.5
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