Final answer:
The equation −4−20s=−2(10s+2) simplifies to an identity after distribution and simplification, indicating that it has infinitely many solutions.
Step-by-step explanation:
To determine how many solutions the equation −4−20s=−2(10s+2) has, we need to simplify and solve it.
Distribute -2 on the right side of the equation: $$-4 - 20s = -20s - 4.$$Simplify both sides of the equation: both sides are identical, which indicates that the equation is true for all values of $s$.Since the equation simplifies to an identity (both sides are equal for all values of $s$), this equation has infinitely many solutions.
The correct answer is c) Infinitely many solutions.