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100-7+5\left(3c+100\right)=-9
Add 70 and 30 to get 100.
93+5\left(3c+100\right)=-9
Subtract 7 from 100 to get 93.
93+15c+500=-9
Use the distributive property to multiply 5 by 3c+100.
593+15c=-9
Add 93 and 500 to get 593.
15c=-9-593
Subtract 593 from both sides.
15c=-602
Subtract 593 from -9 to get -602.
c=\frac{-602}{15}
Divide both sides by 15.
c=-\frac{602}{15}
Fraction \frac{-602}{15} can be rewritten as -\frac{602}{15} by extracting the negative sign.