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-19=-7+2q-8
Use the distributive property to multiply 2 by q-4.
-19=-15+2q
Subtract 8 from -7 to get -15.
-15+2q=-19
Swap sides so that all variable terms are on the left hand side.
2q=-19+15
Add 15 to both sides.
2q=-4
Add -19 and 15 to get -4.
q=\frac{-4}{2}
Divide both sides by 2.
q=-2
Divide -4 by 2 to get -2.