Solve for r
r = -\frac{10}{7} = -1\frac{3}{7} \approx -1.428571429
r=\frac{2}{7}\approx 0.285714286
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|7r+4|-9=-3
Swap sides so that all variable terms are on the left hand side.
|7r+4|=-3+9
Add 9 to both sides.
|7r+4|=6
Add -3 and 9 to get 6.
7r+4=6 7r+4=-6
Use the definition of absolute value.
7r=2 7r=-10
Subtract 4 from both sides of the equation.
r=\frac{2}{7} r=-\frac{10}{7}
Divide both sides by 7.
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