Solve 3(4-7k)=-2(3-k)

$$3 ( 4 - 7 k ) = - 2 ( 3 - k )$$

Solve for k

$$k=\frac{18}{23}\approx 0.782608696$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 4-7k.

$$12-21k=-2\left(3-k\right)$$

Use the distributive property to multiply -2 by 3-k.

$$12-21k=-6+2k$$

Subtract 2k from both sides.

$$12-21k-2k=-6$$

Combine -21k and -2k to get -23k.

$$12-23k=-6$$

Subtract 12 from both sides.

$$-23k=-6-12$$

Subtract 12 from -6 to get -18.

$$-23k=-18$$

Divide both sides by -23.

$$k=\frac{-18}{-23}$$

Fraction \frac{-18}{-23} can be simplified to \frac{18}{23} by removing the negative sign from both the numerator and the denominator.

$$k=\frac{18}{23}$$