12а-(- (8а – 16)) =-4(4-5а)

Let's solve the equation step by step:

The given equation is:

\[ 12a - (-(8a - 16)) = -4(4 - 5a) \]

Start by simplifying both sides. The left side can be simplified as follows:

\[ 12a - (-(8a - 16)) = 12a + (8a - 16) = 12a + 8a - 16 \]

So, we have:

\[ 12a + 8a - 16 = 20a - 16 \]

Now, simplify the right side of the equation:

\[ -4(4 - 5a) = -4 \cdot 4 + (-4)(-5a) = -16 + 20a \]

Now we can equate both sides:

\[ 20a - 16 = -16 + 20a \]

Next, notice that both sides have \(20a\) which can be subtracted from both sides:

\[ 20a - 16 - 20a = -16 + 20a - 20a \]

This simplifies to:

\[ -16 = -16 \]

This tells us that the equality holds for all values of \(a\). Therefore, the solution is that this equation is true for any real number \(a\).