10 = 43 - |17p + 12|

10=43-|17p+12|

You won't use the absolute sign here. Since you cannot add variable to number AND there are no negatives.

10=43-|17p+12|

10=43-17p+12

Add 12 to 43.

10=43-17p+12

10=55-17p

Add 17p on both sides.

10=55-17p

17p+10=55

Subtract 10 from both sides.

17p+10=55

17p=45.

Therefore, the answer is p=2.64705882353.

1.24

Step-by-step explanation:

10=43 - |17p + 12|

-43 = -43

-33 = - |17p + 12|

-33 / - = - |17p + 12|/-

33 = |17p + 12|

-12 = -12

21=17p

21/17=17/17p

1.24 = p