n-114+n+29=1318

To write n-114 as a fraction with a common denominator, multiply by 99.

n-114⋅99+n+29=1318

To write n+29 as a fraction with a common denominator, multiply by 44.

n-114⋅99+n+29⋅44=1318

Write each expression with a common denominator of 36, by multiplying each by an appropriate factor of 1.

Multiply n-114 and 99.

(n-11)⋅94⋅9+n+29⋅44=1318

Multiply 4 by 9.

(n-11)⋅936+n+29⋅44=1318

Multiply n+29 and 44.

(n-11)⋅936+(n+2)⋅49⋅4=1318

Multiply 9 by 4.

(n-11)⋅936+(n+2)⋅436=1318

(n-11)⋅936+(n+2)⋅436=1318

Combine the numerators over the common denominator.

(n-11)⋅9+(n+2)⋅436=1318

Rewrite (n-11)⋅9+(n+2)⋅436 in a factored form.

Apply the distributive property.

n⋅9-11⋅9+(n+2)⋅436=1318

Move 9 to the left of n.

9⋅n-11⋅9+(n+2)⋅436=1318

Multiply -11 by 9.

9n-99+(n+2)⋅436=1318

Apply the distributive property.

9n-99+n⋅4+2⋅436=1318

Move 4 to the left of n.

9n-99+4⋅n+2⋅436=1318

Multiply 2 by 4.

9n-99+4n+836=1318

Add 9n and 4n.

13n-99+836=1318

Add -99 and 8.

13n-9136=1318

Factor 13 out of 13n-91.

Factor 13 out of 13n.

13(n)-9136=1318

Factor 13 out of -91.

13n+13⋅-736=1318

Factor 13 out of 13n+13⋅-7.

13(n-7)36=1318

13(n-7)36=1318

13(n-7)36=1318

13(n-7)36=1318

Multiply both sides of the equation by 36.

13(n-7)=1318⋅(36)

Simplify 13(n-7).

Apply the distributive property.

13n+13⋅-7=1318⋅(36)

Multiply 13 by -7.

13n-91=1318⋅(36)

13n-91=1318⋅(36)

Simplify 1318⋅(36).

Cancel the common factor of 18.

Factor 18 out of 36.

13n-91=1318⋅(18(2))

Cancel the common factor.

13n-91=1318⋅(18⋅2)

Rewrite the expression.

13n-91=13⋅2

13n-91=13⋅2

Multiply 13 by 2.

13n-91=26

13n-91=26

Move all terms not containing n to the right side of the equation.

Add 91 to both sides of the equation.

13n=26+91

Add 26 and 91.

13n=117

13n=117

Divide each term by 13 and simplify.

Divide each term in 13n=117 by 13.

13n13=11713

Cancel the common factor of 13.

Cancel the common factor.

13n13=11713

Divide n by 1.

n=11713

n=11713

Divide 117 by 13.

n=9

n=9

n=9

Solve for n (n-11)/4+(n+2)/9=13/18