Answer
$p=0,25, p=-1.25$
Work Step by Step
Given $$9|4p +2| +8 = 35.$$
Subtract $8$ from both sides $$9|4p +2| = 27.$$
Divide both sides by $9$: $$|4p +2| = 3.$$
Now equating the left hand side to $-3$ and $3$ we obtain
a) $4p +2 = 3.$
Subtract $2$ from both sides $$4p = 1.$$
Dividing both sides by $4$ $$p = \frac{1}{4} = 0.25.$$
b) $4p +2 = -3.$
Subtract $2$ from both sides
$$4p = -5.$$
Divide both sides by $4$ $$p = -\frac{5}{4} = -1.25.$$
Therefore $p=0,25$, $p=-1.25$.
