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].