Solve 4(4m-3)-(n-5)=-52

$$4 ( 4 m - 3 ) - ( n - 5 ) = - 52$$

Solve for m

$$m=\frac{n-45}{16}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 4m-3.

$$16m-12-\left(n-5\right)=-52$$

To find the opposite of n-5, find the opposite of each term.

$$16m-12-n+5=-52$$

Add -12 and 5 to get -7.

$$16m-7-n=-52$$

Add 7 to both sides.

$$16m-n=-52+7$$

Add -52 and 7 to get -45.

$$16m-n=-45$$

Add n to both sides.

$$16m=-45+n$$

The equation is in standard form.

$$16m=n-45$$

Divide both sides by 16.

$$\frac{16m}{16}=\frac{n-45}{16}$$

Dividing by 16 undoes the multiplication by 16.

$$m=\frac{n-45}{16}$$

Solve for n

$$n=16m+45$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 4m-3.

$$16m-12-\left(n-5\right)=-52$$

To find the opposite of n-5, find the opposite of each term.

$$16m-12-n+5=-52$$

Add -12 and 5 to get -7.

$$16m-7-n=-52$$

Subtract 16m from both sides.

$$-7-n=-52-16m$$

Add 7 to both sides.

$$-n=-52-16m+7$$

Add -52 and 7 to get -45.

$$-n=-45-16m$$

The equation is in standard form.

$$-n=-16m-45$$

Divide both sides by -1.

$$\frac{-n}{-1}=\frac{-16m-45}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$n=\frac{-16m-45}{-1}$$

Divide -45-16m by -1.

$$n=16m+45$$