Question

equation: -5 - 6h = -6h; column for number of solutions (to be filled)

Explanation:

Step1: Simplify the equation

Start with the given equation: $-5 - 6h = -6h$
Add $6h$ to both sides of the equation.
$(-5 - 6h)+6h = (-6h)+6h$
Simplify both sides: $-5 = 0$

Step2: Analyze the result

The equation simplifies to $-5 = 0$, which is a false statement. In linear equations of the form $ax + b = cx + d$, if after simplifying we get a false statement (like a non - zero number equal to zero), the equation has no solutions.

Answer:

The equation $-5 - 6h = -6h$ has no solutions.