Solve 4left(k-8right)-3left(5-4kright)=6*3k-7

$$4 \left( k-8 \right) -3 \left( 5-4k \right) = 6 \times 3k-7$$

Solve for k

$$k=-20$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by k-8.

$$4k-32-3\left(5-4k\right)=6\times 3k-7$$

Use the distributive property to multiply -3 by 5-4k.

$$4k-32-15+12k=6\times 3k-7$$

Subtract 15 from -32 to get -47.

$$4k-47+12k=6\times 3k-7$$

Combine 4k and 12k to get 16k.

$$16k-47=6\times 3k-7$$

Multiply 6 and 3 to get 18.

$$16k-47=18k-7$$

Subtract 18k from both sides.

$$16k-47-18k=-7$$

Combine 16k and -18k to get -2k.

$$-2k-47=-7$$

Add 47 to both sides.

$$-2k=-7+47$$

Add -7 and 47 to get 40.

$$-2k=40$$

Divide both sides by -2.

$$k=\frac{40}{-2}$$

Divide 40 by -2 to get -20.

$$k=-20$$