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Simplifying z + -4z = 7z + -1 + -1z Combine like terms: z + -4z = -3z -3z = 7z + -1 + -1z Reorder the terms: -3z = -1 + 7z + -1z Combine like terms: 7z + -1z = 6z -3z = -1 + 6z Solving -3z = -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. -3z + -6z = -1 + 6z + -6z Combine like terms: -3z + -6z = -9z -9z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 -9z = -1 + 0 -9z = -1 Divide each side by '-9'. z = 0.1111111111 Simplifying z = 0.1111111111
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