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5z+5=3\left(2+2\right)+11
Use the distributive property to multiply 5 by z+1.
5z+5=3\times 4+11
Add 2 and 2 to get 4.
5z+5=12+11
Multiply 3 and 4 to get 12.
5z+5=23
Add 12 and 11 to get 23.
5z=23-5
Subtract 5 from both sides.
5z=18
Subtract 5 from 23 to get 18.
z=\frac{18}{5}
Divide both sides by 5.