Solve U=3(2n+36)+2(n+5/2)

$$U = 3 ( 2 n + 36 ) + 2 ( n + \frac { 5 } { 2 } )$$

Solve for U

$$U=8n+113$$

Solution Steps

Use the distributive property to multiply 3 by 2n+36.

$$U=6n+108+2\left(n+\frac{5}{2}\right)$$

Use the distributive property to multiply 2 by n+\frac{5}{2}.

$$U=6n+108+2n+5$$

Combine 6n and 2n to get 8n.

$$U=8n+108+5$$

Add 108 and 5 to get 113.

$$U=8n+113$$

Solve for n

$$n=\frac{U-113}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2n+36.

$$U=6n+108+2\left(n+\frac{5}{2}\right)$$

Use the distributive property to multiply 2 by n+\frac{5}{2}.

$$U=6n+108+2n+5$$

Combine 6n and 2n to get 8n.

$$U=8n+108+5$$

Add 108 and 5 to get 113.

$$U=8n+113$$

Swap sides so that all variable terms are on the left hand side.

$$8n+113=U$$

Subtract 113 from both sides.

$$8n=U-113$$

Divide both sides by 8.

$$\frac{8n}{8}=\frac{U-113}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$n=\frac{U-113}{8}$$