Question
$$2(t-6)\cdot4 = 2(t-6)\cdot4$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 2(t-6)\cdot4 &= 2(t-6)\cdot4&& \text{simplify left and right hand side} \\[1 em](2t-12)\cdot4 &= (2t-12)\cdot4&& \\[1 em]8t-48 &= 8t-48&& \text{move the $ \color{blue}{ 8t } $ to the left side and $ \color{blue}{ -48 }$ to the right} \\[1 em]8t-8t &= -48+48&& \text{simplify left and right hand side} \\[1 em]8t-8t &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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