Let's solve the given equation step-by-step.
We start with the given equation:
[tex]\[ -10 = -14v + 14v \][/tex]
First, let's simplify the right-hand side of the equation. Notice that [tex]\(-14v + 14v\)[/tex] involves adding two terms that cancel each other out because they are opposites:
[tex]\[ -14v + 14v = 0 \][/tex]
So, the equation simplifies to:
[tex]\[ -10 = 0 \][/tex]
Now, we have the simplified equation:
[tex]\[ -10 = 0 \][/tex]
This simplified equation is clearly false because [tex]\(-10\)[/tex] is not equal to [tex]\(0\)[/tex]. This is an inconsistency, meaning that no value of [tex]\(v\)[/tex] can satisfy the original equation.
Therefore, the given equation is inconsistent and has no solution.
