Final answer:
To find the number of solutions to the equation – 15 – 15m = – 5(3m + 3), simplify to show that each side is identical, indicating there are infinitely many solutions.
Step-by-step explanation:
The equation – 15 – 15m = – 5(3m + 3) needs to be solved to determine how many solutions it has. First, simplify and expand the equation by distributing – 5 to both terms inside the parenthesis:
– 15 – 15m = – 5 × 3m – 5 × 3
– 15 – 15m = – 15m – 15
When comparing both sides of the equation, it can be seen that they are identical, meaning every value of m will satisfy the equation. This implies that there are infinitely many solutions.