Final answer:
To solve the equation 2(-7 + n) = -48 - 4n, distribute the 2 to both terms inside the parentheses, combine like terms, and solve for n. The equation has one solution, n = -17/3.
Step-by-step explanation:
To solve the equation 2(-7 + n) = -48 - 4n, we need to simplify both sides of the equation and then solve for n.
First, distribute the 2 to both terms inside the parentheses:
-14 + 2n = -48 -4n
Next, combine like terms:
6n -14 = -48
Add 14 to both sides:
6n = -48 + 14
6n = -34
Finally, divide both sides by 6 to solve for n:
n = -34/6
n = -17/3
Therefore, the equation has one solution, n = -17/3.