Solve n+3/2=-3*m+1/2-4

$$\frac { n + 3 } { 2 } = - 3 \times \frac { m + 1 } { 2 } - 4$$

Solve for m

$$m=\frac{-n-14}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$n+3=-3\left(m+1\right)-8$$

Use the distributive property to multiply -3 by m+1.

$$n+3=-3m-3-8$$

Subtract 8 from -3 to get -11.

$$n+3=-3m-11$$

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

$$-3m-11=n+3$$

Add 11 to both sides.

$$-3m=n+3+11$$

Add 3 and 11 to get 14.

$$-3m=n+14$$

Divide both sides by -3.

$$\frac{-3m}{-3}=\frac{n+14}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$m=\frac{n+14}{-3}$$

Divide n+14 by -3.

$$m=\frac{-n-14}{3}$$

Solve for n

$$n=-3m-14$$

Solution Steps

Multiply both sides of the equation by 2.

$$n+3=-3\left(m+1\right)-8$$

Use the distributive property to multiply -3 by m+1.

$$n+3=-3m-3-8$$

Subtract 8 from -3 to get -11.

$$n+3=-3m-11$$

Subtract 3 from both sides.

$$n=-3m-11-3$$

Subtract 3 from -11 to get -14.

$$n=-3m-14$$