What is the solution to the following equation?

two-thirds (p + 6) = 4 + 2 (p – 6)
(1 point)
Responses

one-ninth
Image with alt text: one-ninth

3
3

three-fourths
Image with alt text: three-fourths

9

1 answer

To solve the equation, we can simplify and then isolate the variable.

First, distribute the 2 on the right side of the equation:

2(p - 6) = 4 + 2(p - 6)
2p - 12 = 4 + 2p - 12

Next, combine like terms:

-12 = 4

Since -12 is not equal to 4, this means that there is no solution to the equation.