Solve 2-16+5(8k-6)=8(3-4k)-32

$$2 - 16 + 5 ( 8 k - 6 ) = 8 ( 3 - 4 k ) - 32$$

Solve for k

$$k=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Subtract 16 from 2 to get -14.

$$-14+5\left(8k-6\right)=8\left(3-4k\right)-32$$

Use the distributive property to multiply 5 by 8k-6.

$$-14+40k-30=8\left(3-4k\right)-32$$

Subtract 30 from -14 to get -44.

$$-44+40k=8\left(3-4k\right)-32$$

Use the distributive property to multiply 8 by 3-4k.

$$-44+40k=24-32k-32$$

Subtract 32 from 24 to get -8.

$$-44+40k=-8-32k$$

Add 32k to both sides.

$$-44+40k+32k=-8$$

Combine 40k and 32k to get 72k.

$$-44+72k=-8$$

Add 44 to both sides.

$$72k=-8+44$$

Add -8 and 44 to get 36.

$$72k=36$$

Divide both sides by 72.

$$k=\frac{36}{72}$$

Reduce the fraction \frac{36}{72} to lowest terms by extracting and canceling out 36.

$$k=\frac{1}{2}$$