How many solutions does the equation have? -5vert s-1vert =-35 no solution one solution two solutions

To find the number of solutions for the equation $-5|s-1|=-35$, we first isolate the absolute value expression by dividing both sides of the equation by -5. This gives us $|s-1|=7$. The absolute value of a number is always positive or zero, so $s-1$ can be either 7 or -7. Solving these two equations gives us $s=8$ and $s=-6$. Therefore, the equation has two solutions.