# How do you solve 1,775= 25( p + 15)?

$p = 56$
We begin with $1775 = 25 \left(p + 15\right)$. To begin, we must isolate $p$. The first step is to divide by $25$ on both sides. That gives us $\frac{1775}{25} = \frac{\cancel{25} \left(p + 15\right)}{\cancel{25}}$, which simplifes to $71 = p + 15$. Now subtract $15$ on both sides, and we see that $p = 56$.
To confirm that we are correct, we just need to check our work by substituting $p$ for $56$ and solving, like so: $1775 = 25 \left(56 + 15\right)$. That becomes $1775 = 25 \left(71\right)$, which means that $1775 = 1775$, and we are correct.