The problem is to solve the equation $88 = 4(-6 + 4r)$ for the variable $r$.

1. Problem Description

The problem is to solve the equation $88 = 4(-6 + 4r)$ for the variable $r$.

2. Solution Steps

First, distribute the $4$ on the right side of the equation:

$88 = 4(-6) + 4(4r)$

$88 = -24 + 16r$

Next, add $24$ to both sides of the equation:

$88 + 24 = -24 + 16r + 24$

$112 = 16r$

Now, divide both sides of the equation by $16$:

$\frac{112}{16} = \frac{16r}{16}$

$r = 7$

3. Final Answer

$r = 7$