Solve for the given variable:

∣7m∣+4=25

1 answer

To solve for the variable, we need to isolate it on one side of the equation.

First, subtract 4 from both sides of the equation:
|7m| = 25 - 4 = 21

Next, we need to solve for the absolute value. Since the absolute value of a number is always positive, we can split the equation into two cases:

Case 1:
7m = 21
Divide both sides by 7:
m = 3

Case 2:
-7m = 21
Divide both sides by -7:
m = -3

Therefore, the solutions to the equation are m = 3 and m = -3.