A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

First, solve for \( \left|c + 6\right| \):

\( \left|c + 6\right| \) - 3 = -5
\( \left|c + 6\right| \) = -5 + 3
\( \left|c + 6\right| \) = -2

The value inside the absolute value brackets can be either positive or negative so (c + 6) must equal - 2 or --2 for \( \left|c + 6\right| \) to equal -2:

So, c = -4 or c = -8.

The factors of a number are all positive integers that divide evenly into the number. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

If 37% of the town's 45,000 voters cast ballots the number of votes cast is:

(\( \frac{37}{100} \)) x 45,000 = \( \frac{1,665,000}{100} \) = 16,650

The mayor got 63% of the votes cast which is:

(\( \frac{63}{100} \)) x 16,650 = \( \frac{1,048,950}{100} \) = 10,490 votes.

To fill a 25 gallon tank exactly halfway you'll need 12\(\frac{1}{2}\) gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:

cans = \( \frac{12\frac{1}{2} \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 5