Solve Q=1/4(n+1)

$$Q = \frac { 1 } { 4 } ( n + 1 )$$

Solve for n

$$n=4Q-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{4} by n+1.

$$Q=\frac{1}{4}n+\frac{1}{4}$$

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

$$\frac{1}{4}n+\frac{1}{4}=Q$$

Subtract \frac{1}{4} from both sides.

$$\frac{1}{4}n=Q-\frac{1}{4}$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}n}{\frac{1}{4}}=\frac{Q-\frac{1}{4}}{\frac{1}{4}}$$

Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.

$$n=\frac{Q-\frac{1}{4}}{\frac{1}{4}}$$

Divide Q-\frac{1}{4} by \frac{1}{4} by multiplying Q-\frac{1}{4} by the reciprocal of \frac{1}{4}.

$$n=4Q-1$$

Solve for Q

$$Q=\frac{n+1}{4}$$

Solution Steps

Use the distributive property to multiply \frac{1}{4} by n+1.

$$Q=\frac{1}{4}n+\frac{1}{4}$$