Question
$$-4+2-14r = -2-14r$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} -4+2-14r &= -2-14r&& \text{simplify left and right hand side} \\[1 em]-14r-2 &= -14r-2&& \text{move the $ \color{blue}{ -14r } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]-14r+14r &= -2+2&& \text{simplify left and right hand side} \\[1 em]-14r+14r &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
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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