Solve 13-7(k-1)/3=3k-2

$$\frac { 13 - 7 ( k - 1 ) } { 3 } = 3 k - 2$$

Solve for k

$$k = \frac{13}{8} = 1\frac{5}{8} = 1.625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$13-7\left(k-1\right)=9k-6$$

Use the distributive property to multiply -7 by k-1.

$$13-7k+7=9k-6$$

Add 13 and 7 to get 20.

$$20-7k=9k-6$$

Subtract 9k from both sides.

$$20-7k-9k=-6$$

Combine -7k and -9k to get -16k.

$$20-16k=-6$$

Subtract 20 from both sides.

$$-16k=-6-20$$

Subtract 20 from -6 to get -26.

$$-16k=-26$$

Divide both sides by -16.

$$k=\frac{-26}{-16}$$

Reduce the fraction \frac{-26}{-16} to lowest terms by extracting and canceling out -2.

$$k=\frac{13}{8}$$