Sure, let's solve the equation step-by-step.
Given:
[tex]\[ 3r = -19 \][/tex]
To isolate [tex]\( r \)[/tex], we need to solve for [tex]\( r \)[/tex]. This involves dividing both sides of the equation by the coefficient of [tex]\( r \)[/tex], which is 3.
Step 1: Divide both sides by 3:
[tex]\[ r = \frac{-19}{3} \][/tex]
Step 2: Simplify the fraction:
[tex]\[ r = -\frac{19}{3} \][/tex]
So, the value of [tex]\( r \)[/tex] in its fully simplified form is:
[tex]\[ r = -\frac{19}{3} \][/tex]
To express this as a decimal, it would be approximately:
[tex]\[ r \approx -6.333333333333333 \][/tex]
Hence, the final answer, expressed as a fraction, is:
[tex]\[ r = -\frac{19}{3} \][/tex]
