Solve -401=5+(n-1)*-4

$$-401 = 5+(n-1) \times -4$$

Solve for n

$$n = \frac{205}{2} = 102\frac{1}{2} = 102.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply n-1 by -4.

$$-401=5-4n+4$$

Add 5 and 4 to get 9.

$$-401=9-4n$$

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

$$9-4n=-401$$

Subtract 9 from both sides.

$$-4n=-401-9$$

Subtract 9 from -401 to get -410.

$$-4n=-410$$

Divide both sides by -4.

$$n=\frac{-410}{-4}$$

Reduce the fraction \frac{-410}{-4} to lowest terms by extracting and canceling out -2.

$$n=\frac{205}{2}$$