Solve 175=Delta(4+3n+1)/2

$$175 = \frac { \Delta ( 4 + 3 n + 1 ) } { 2 }$$

Solve for n

$$n=-\frac{5}{3}+\frac{350}{3\Delta }$$

$$\Delta \neq 0$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$175\times 2=\Delta \left(4+3n+1\right)$$

Multiply 175 and 2 to get 350.

$$350=\Delta \left(4+3n+1\right)$$

Add 4 and 1 to get 5.

$$350=\Delta \left(5+3n\right)$$

Use the distributive property to multiply \Delta by 5+3n.

$$350=5\Delta +3\Delta n$$

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

$$5\Delta +3\Delta n=350$$

Subtract 5\Delta from both sides.

$$3\Delta n=350-5\Delta$$

Divide both sides by 3\Delta .

$$\frac{3\Delta n}{3\Delta }=\frac{350-5\Delta }{3\Delta }$$

Dividing by 3\Delta undoes the multiplication by 3\Delta .

$$n=\frac{350-5\Delta }{3\Delta }$$

Divide 350-5\Delta by 3\Delta .

$$n=-\frac{5}{3}+\frac{350}{3\Delta }$$

Solve for Δ

$$\Delta =\frac{350}{3n+5}$$

$$n\neq -\frac{5}{3}$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$175\times 2=\Delta \left(4+3n+1\right)$$

Multiply 175 and 2 to get 350.

$$350=\Delta \left(4+3n+1\right)$$

Add 4 and 1 to get 5.

$$350=\Delta \left(5+3n\right)$$

Use the distributive property to multiply \Delta by 5+3n.

$$350=5\Delta +3\Delta n$$

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

$$5\Delta +3\Delta n=350$$

Combine all terms containing \Delta .

$$\left(5+3n\right)\Delta =350$$

The equation is in standard form.

$$\left(3n+5\right)\Delta =350$$

Divide both sides by 5+3n.

$$\frac{\left(3n+5\right)\Delta }{3n+5}=\frac{350}{3n+5}$$

Dividing by 5+3n undoes the multiplication by 5+3n.

$$\Delta =\frac{350}{3n+5}$$