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Simplifying 4z + -5z = -6z + -1 + 7z Combine like terms: 4z + -5z = -1z -1z = -6z + -1 + 7z Reorder the terms: -1z = -1 + -6z + 7z Combine like terms: -6z + 7z = 1z -1z = -1 + 1z Solving -1z = -1 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -1z + -1z = -1 + 1z + -1z Combine like terms: -1z + -1z = -2z -2z = -1 + 1z + -1z Combine like terms: 1z + -1z = 0 -2z = -1 + 0 -2z = -1 Divide each side by '-2'. z = 0.5 Simplifying z = 0.5
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