-\frac{56}{6} + \frac{225}{6} + c = -4 \Rightarrow \frac{169}{6} + c = -4 \Rightarrow c = -4 - \frac{169}{6} = -\frac{24}{6} - \frac{169}{6} = -\frac{193}{6}

February 22, 2026

$-\frac{56}{6} + \frac{225}{6} + c = -4 \Rightarrow \frac{169}{6} + c = -4 \Rightarrow c = -4 - \frac{169}{6} = -\frac{24}{6} - \frac{169}{6} = -\frac{193}{6}$

Now use (5):
7\left(-\frac{4}{3}\right) + 3\left(\frac{25}{2}\right) + c = -4 \Rightarrow -\frac{28}{3} + \frac{75}{2} + c = -4
Find common denominator (6):
a + b + c + d = 3 \Rightarrow -\frac{4}{3} + \frac{25}{2} - \frac{193}{6} + d = 3
Common denominator 6:
-\frac{8}{6} + \frac{75}{6} - \frac{193}{6} + d = 3 \Rightarrow \frac{-8 + 75 - 193}{6} + d = 3 \Rightarrow \frac{-126}{6} + d = 3 \Rightarrow -21 + d = 3 \Rightarrow d = 24

-\frac{56}{6} + \frac{225}{6} + c = -4 \Rightarrow \frac{169}{6} + c = -4 \Rightarrow c = -4 - \frac{169}{6} = -\frac{24}{6} - \frac{169}{6} = -\frac{193}{6}

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