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Simplifying 7z + 6 = -7z + -5 Reorder the terms: 6 + 7z = -7z + -5 Reorder the terms: 6 + 7z = -5 + -7z Solving 6 + 7z = -5 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 6 + 7z + 7z = -5 + -7z + 7z Combine like terms: 7z + 7z = 14z 6 + 14z = -5 + -7z + 7z Combine like terms: -7z + 7z = 0 6 + 14z = -5 + 0 6 + 14z = -5 Add '-6' to each side of the equation. 6 + -6 + 14z = -5 + -6 Combine like terms: 6 + -6 = 0 0 + 14z = -5 + -6 14z = -5 + -6 Combine like terms: -5 + -6 = -11 14z = -11 Divide each side by '14'. z = -0.7857142857 Simplifying z = -0.7857142857
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