Hi can someone take a look at my screen cap and tell me why I got the answer backwards please? TYVM :)

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Hi can someone take a look at my screen cap and tell me why I got the answer backwards please? TYVM :)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Show us your work, then we can tell you where you stumbled :D
\[6/7z + 9/14=6 \] first i found the common denominator which was 14 and multiplied the denominator 7 * 2 and the numerator i then multiplied 6 * 14 and got 84 which left me with 12z+9= + or - 84

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\[\frac{6}{7}z+\frac{9}{14} = 6\] subtract 9/14 on both sides \[\frac{6}{7}z = \frac{84}{14} - \frac{9}{14} = \frac{75}{14}\] multiply by 7/6 on both sides \[z = \frac{75}{14}*\frac{7}{6} = \frac{25}{4} = 6.25\]
yeah, or -6/7z -9/14 = 6 z = -7 3/4 = -7.75 We did it :D
Ohh, I see. thank you :)

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