Certainly! Let's solve the equation [tex]\(3k + 14 = 4\)[/tex] step by step.
1. Understand the given equation:
We have:
[tex]\[
3k + 14 = 4
\][/tex]
2. Isolate the variable term:
To isolate the term involving [tex]\(k\)[/tex], we'll first subtract 14 from both sides of the equation:
[tex]\[
3k + 14 - 14 = 4 - 14
\][/tex]
This simplifies to:
[tex]\[
3k = -10
\][/tex]
3. Solve for [tex]\(k\)[/tex]:
Now that we have [tex]\(3k = -10\)[/tex], we need to solve for [tex]\(k\)[/tex]. We do this by dividing both sides of the equation by 3:
[tex]\[
k = \frac{-10}{3}
\][/tex]
4. Result:
Therefore, the solution for the equation [tex]\(3k + 14 = 4\)[/tex] is:
[tex]\[
k = -3.3333333333333335
\][/tex]
To summarize, we isolated the variable term by subtracting 14 from both sides and then solved for [tex]\(k\)[/tex] by dividing both sides by 3. The value of [tex]\(k\)[/tex] that satisfies the given equation is [tex]\(-3.3333333333333335\)[/tex].
