2(7+11)=2n+2(11)

Rewrite the equation as 2n+2(11)=2(7+11).

2n+2(11)=2(7+11)

Multiply 2 by 11.

2n+22=2(7+11)

Add 7 and 11.

2n+22=2⋅18

Multiply 2 by 18.

2n+22=36

2n+22=36

Subtract 22 from both sides of the equation.

2n=36-22

Subtract 22 from 36.

2n=14

2n=14

Divide each term in 2n=14 by 2.

2n2=142

Cancel the common factor of 2.

Cancel the common factor.

2n2=142

Divide n by 1.

n=142

n=142

Divide 14 by 2.

n=7

n=7

Solve for n 2(7+11)=2n+2(11)