Answer :

To solve for [tex]\( k \)[/tex] in the equation [tex]\( 3k + 4 = 19 \)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ 3k + 4 = 19 \][/tex]

2. Subtract 4 from both sides of the equation to isolate the term with [tex]\( k \)[/tex]:
[tex]\[ 3k + 4 - 4 = 19 - 4 \][/tex]
Simplifying this, we have:
[tex]\[ 3k = 15 \][/tex]

3. Next, divide both sides of the equation by 3 to solve for [tex]\( k \)[/tex]:
[tex]\[ \frac{3k}{3} = \frac{15}{3} \][/tex]
Simplifying this, we get:
[tex]\[ k = 5 \][/tex]

So, the solution is [tex]\( k = 5 \)[/tex].