Solve -14(-8k+2)+6(5-3k)=-92

$$- 14 ( - 8 k + 2 ) + 6 ( 5 - 3 k ) = - 92$$

Solve for k

$$k=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -14 by -8k+2.

$$112k-28+6\left(5-3k\right)=-92$$

Use the distributive property to multiply 6 by 5-3k.

$$112k-28+30-18k=-92$$

Add -28 and 30 to get 2.

$$112k+2-18k=-92$$

Combine 112k and -18k to get 94k.

$$94k+2=-92$$

Subtract 2 from both sides.

$$94k=-92-2$$

Subtract 2 from -92 to get -94.

$$94k=-94$$

Divide both sides by 94.

$$k=\frac{-94}{94}$$

Divide -94 by 94 to get -1.

$$k=-1$$