Solve for q
q=-1
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5\left(q-11\right)=4\times 3\left(q+1\right)-20\left(2q+5\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5.
5q-55=4\times 3\left(q+1\right)-20\left(2q+5\right)
Use the distributive property to multiply 5 by q-11.
5q-55=12\left(q+1\right)-20\left(2q+5\right)
Multiply 4 and 3 to get 12.
5q-55=12q+12-20\left(2q+5\right)
Use the distributive property to multiply 12 by q+1.
5q-55=12q+12-40q-100
Use the distributive property to multiply -20 by 2q+5.
5q-55=-28q+12-100
Combine 12q and -40q to get -28q.
5q-55=-28q-88
Subtract 100 from 12 to get -88.
5q-55+28q=-88
Add 28q to both sides.
33q-55=-88
Combine 5q and 28q to get 33q.
33q=-88+55
Add 55 to both sides.
33q=-33
Add -88 and 55 to get -33.
q=\frac{-33}{33}
Divide both sides by 33.
q=-1
Divide -33 by 33 to get -1.
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