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