Question

12а-(-(8а-16))=-4(4-5а)

Answer 1

12a - ( - (8a - 16)) = - 4(4 - 5a)

12a - (- 8a + 16) = - 16 + 20a

12a + 8a - 16 = - 16 + 20a

20a - 20a = - 16 + 16

0 * a = 0

Ответ : a ∈ R

Answer 2

Let's solve the equation step by step:

Given equation: 12а - (-(8а - 16)) = -4(4 - 5а)

First, simplify the expressions within the parentheses:

-(-8а + 16) = 8а - 16 -4(4 - 5а) = -16 + 20а

Now substitute these simplified expressions back into the original equation:

12а + (8а - 16) = -16 + 20а

Distribute the negative sign to both terms inside the parentheses:

12а + 8а - 16 = -16 + 20а

Combine like terms on the left side of the equation:

20а - 16 = -16 + 20а

Subtract 20а from both sides of the equation to isolate the constant term:

-16 = -16

The equation is now true, but it's an identity, which means it holds true for any value of 'a'. In other words, the original equation is not a conditional equation with a unique solution; it's an equation that holds true for all values of 'a'.