First, solve for \( \left|x + 7\right| \):

\( \left|x + 7\right| \) - 2 = -2
\( \left|x + 7\right| \) = -2 + 2
\( \left|x + 7\right| \) = 0

The value inside the absolute value brackets can be either positive or negative so (x + 7) must equal + 0 or -0 for \( \left|x + 7\right| \) to equal 0:

So, x = -7 or x = -7.

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

The greatest common factor (GCF) is the greatest factor that divides two integers.

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{51}{12} \) = 4\(\frac{1}{4}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.