How many solutions does the equation have? vert uvert +6=40 no solution one solution two

The equation given is $\vert u\vert +6=40$. The absolute value of a number is always positive or zero. Therefore, the equation $\vert u\vert +6=40$ can be rewritten as $\vert u\vert = 34$. The absolute value of a number is equal to the number itself if the number is positive or zero, and it is equal to the negative of the number if the number is negative. Therefore, the equation $\vert u\vert = 34$ has two solutions: $u = 34$ and $u = -34$. Hence, the equation has two solutions.