Solve P=7.5n-(2.25n+15)

$$P = 7.5 n - ( 2.25 n + 15 )$$

Solve for P

$$P=\frac{21n}{4}-15$$

Solution Steps

To find the opposite of 2.25n+15, find the opposite of each term.

$$P=7.5n-2.25n-15$$

Combine 7.5n and -2.25n to get 5.25n.

$$P=5.25n-15$$

Solve for n

$$n=\frac{4P}{21}+\frac{20}{7}$$

Steps for Solving Linear Equation

To find the opposite of 2.25n+15, find the opposite of each term.

$$P=7.5n-2.25n-15$$

Combine 7.5n and -2.25n to get 5.25n.

$$P=5.25n-15$$

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

$$5.25n-15=P$$

Add 15 to both sides.

$$5.25n=P+15$$

Divide both sides of the equation by 5.25, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{5.25n}{5.25}=\frac{P+15}{5.25}$$

Dividing by 5.25 undoes the multiplication by 5.25.

$$n=\frac{P+15}{5.25}$$

Divide P+15 by 5.25 by multiplying P+15 by the reciprocal of 5.25.

$$n=\frac{4P}{21}+\frac{20}{7}$$