a^2+4a+4a+16-(a^2+4a-4a-16)=

Solution for a^2+4a+4a+16-(a^2+4a-4a-16)= equation:

Simplifying
a2 + 4a + 4a + 16 + -1(a2 + 4a + -4a + -16) = 0

Reorder the terms:
a2 + 4a + 4a + 16 + -1(-16 + 4a + -4a + a2) = 0

Combine like terms: 4a + -4a = 0
a2 + 4a + 4a + 16 + -1(-16 + 0 + a2) = 0
a2 + 4a + 4a + 16 + -1(-16 + a2) = 0
a2 + 4a + 4a + 16 + (-16 * -1 + a2 * -1) = 0
a2 + 4a + 4a + 16 + (16 + -1a2) = 0

Reorder the terms:
16 + 16 + 4a + 4a + a2 + -1a2 = 0

Combine like terms: 16 + 16 = 32
32 + 4a + 4a + a2 + -1a2 = 0

Combine like terms: 4a + 4a = 8a
32 + 8a + a2 + -1a2 = 0

Combine like terms: a2 + -1a2 = 0
32 + 8a + 0 = 0
32 + 8a = 0

Solving
32 + 8a = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-32' to each side of the equation.
32 + -32 + 8a = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 8a = 0 + -32
8a = 0 + -32

Combine like terms: 0 + -32 = -32
8a = -32

Divide each side by '8'.
a = -4

Simplifying
a = -4