Question

7|r+5|-2=12 what is the formula? Solve the equation.

Answer 1

Start with

$7|r+5|-2=12$

Add 2 to both sides:

$7|r+5|=14$

Divide both sides by 7:

$|r+5|=2$

Which is true if

$r+5=\pm 2$

If we choose the positive alternative, we have

$r+5=2 \iff r=3$

Otherwise, we have

$r+5=-2 \iff r=-7$