Question

Solve the equation, determine whether the equation has one solution, no solution, or infinitely many solutions: 2(-7 + n) = -48 - 4n.

a. One solution
b. No solution
c. Infinitely many solutions
d. None

Answer 1

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.