Solve 0=30-(n-1)(-20/5)

$$0 = 30 - ( n - 1 ) ( - \frac { 20 } { 5 } )$$

Solve for n

$$n = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

Divide 20 by 5 to get 4.

$$0=30-\left(n-1\right)\left(-4\right)$$

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

$$0=30-\left(-4n+4\right)$$

To find the opposite of -4n+4, find the opposite of each term.

$$0=30-\left(-4n\right)-4$$

The opposite of -4n is 4n.

$$0=30+4n-4$$

Subtract 4 from 30 to get 26.

$$0=26+4n$$

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

$$26+4n=0$$

Subtract 26 from both sides. Anything subtracted from zero gives its negation.

$$4n=-26$$

Divide both sides by 4.

$$n=\frac{-26}{4}$$

Reduce the fraction \frac{-26}{4} to lowest terms by extracting and canceling out 2.

$$n=-\frac{13}{2}$$