Question

What value of g would make the following expressions equivalent?

−3(x−4)+2 and −3x+14−g

Answer 1

wrong

Answer 2

To make the expressions equivalent, the value of g should be 12.

Answer 3

I apologize for the incorrect response earlier.

To make the expressions −3(x−4)+2 and −3x+14−g equivalent, we can equate them and solve for g.

-3(x-4) + 2 = -3x + 14 - g

Expanding the left side:

-3x + 12 + 2 = -3x + 14 - g

Combining like terms:

-3x + 14 = -3x + 14 - g

Subtracting -3x + 14 from both sides:

-3x + 14 - (-3x + 14) = -3x + 14 - g - (-3x + 14)

Simplifying:

0 = -g

Therefore, g must be 0 in order to make the expressions equivalent.