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18z+3=-\left(-20z+11\right)
Use the distributive property to multiply 3 by 6z+1.
18z+3=-\left(-20z\right)-11
To find the opposite of -20z+11, find the opposite of each term.
18z+3=20z-11
The opposite of -20z is 20z.
18z+3-20z=-11
Subtract 20z from both sides.
-2z+3=-11
Combine 18z and -20z to get -2z.
-2z=-11-3
Subtract 3 from both sides.
-2z=-14
Subtract 3 from -11 to get -14.
z=\frac{-14}{-2}
Divide both sides by -2.
z=7
Divide -14 by -2 to get 7.