Solve -k+k=-6(3-3k)+8(6-k)

$$- k + k = - 6 ( 3 - 3 k ) + 8 ( 6 - k )$$

Solve for k

$$k=-3$$

Steps for Solving Linear Equation

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

$$-k+k=-18+18k+8\left(6-k\right)$$

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

$$-k+k=-18+18k+48-8k$$

Add -18 and 48 to get 30.

$$-k+k=30+18k-8k$$

Combine 18k and -8k to get 10k.

$$-k+k=30+10k$$

Subtract 10k from both sides.

$$-k+k-10k=30$$

Combine k and -10k to get -9k.

$$-k-9k=30$$

Combine -k and -9k to get -10k.

$$-10k=30$$

Divide both sides by -10.

$$k=\frac{30}{-10}$$

Divide 30 by -10 to get -3.

$$k=-3$$