Find the shortest distance between the lines `(x+2)/(-4) = (y)/(1) = (z-7)/(1)` and `(x+3)/(-4) = (y-6)/(3) = 9/2`

Explanation

To find the shortest distance between the two given lines, we will follow these steps:

### Step 1: Identify the equations of the lines
The equations of the lines are given in symmetric form:
1. Line 1: \((x + 2)/(-4) = y/1 = (z - 7)/1\)
2. Line 2: \((x + 3)/(-4) = (y - 6)/3 = 9/2\)

### Step 2: Convert the equations to parametric form
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