How many solutions does this equation have?
-4n + 8 = -4(n – 2)
no solution
one solution
infinitely many solutions
How many solutions does this equation have? -4n + 8 = -4(n – 2)
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How many solutions does this equation have?
-4n + 8 = -4(n – 2)
no solution
one solution
infinitely many solutions
Let’s solve the equation step by step:
1. Start with the original equation:
(-4n + 8 = -4(n – 2))
2. Distribute on the right side:
(-4n + 8 = -4n + 8)
3. Now, notice that both sides of the equation are identical. This means that the equation is true for all values of ( n ).
Since the equation balances out for any ( n ), we conclude that there are infinitely many solutions.
So, the answer is: infinitely many solutions.