Determine the value of variable 'a': $-5=\frac{a+2}{7}$

Step 1 ：Multiply both sides of the equation by 7: \(-5 * 7 = \frac{a+2}{7} * 7\)

Step 2 ：Simplify the equation: \(-35 = a + 2\)

Step 3 ：Subtract 2 from both sides to isolate 'a': \(-35 - 2 = a\)

Step 4 ：Simplify to find the value of 'a': \(a = -37\)

Step 5 ：Final Answer: \(\boxed{-37}\)