math question

I'm assuming you are solving for k so...

-17+8k = -8k+3(8k+5)

-17+8k = -8k+24k+15    DISTRIBUTE THE 3

-17+8k = 16k+15           COMBINE LIKE TERMS

8k = 16k-32                   ADD 17 OVER, COMBINE WITH 15 (15+17 = 32)

-8k = 32                         SUBTRACT 16k OVER, COMBINE WITH 8k (8k-16k = -8k)

k = -4                             DIVIDE BY -8 (32/-8 = -4)

-17+8k= -8k+3(8k+5)    simplify

-17 + 8k  = -8k + 24k + 15

-17 + 8k  = 16k + 15     subtract 15, 8k from both sides

-32  = 8k      divide both sides by 8

-4  = k