2(2a+1)+2(a-4)=

Solution for 2(2a+1)+2(a-4)= equation:

Simplifying
2(2a + 1) + 2(a + -4) = 0

Reorder the terms:
2(1 + 2a) + 2(a + -4) = 0
(1 * 2 + 2a * 2) + 2(a + -4) = 0
(2 + 4a) + 2(a + -4) = 0

Reorder the terms:
2 + 4a + 2(-4 + a) = 0
2 + 4a + (-4 * 2 + a * 2) = 0
2 + 4a + (-8 + 2a) = 0

Reorder the terms:
2 + -8 + 4a + 2a = 0

Combine like terms: 2 + -8 = -6
-6 + 4a + 2a = 0

Combine like terms: 4a + 2a = 6a
-6 + 6a = 0

Solving
-6 + 6a = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 6a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6a = 0 + 6
6a = 0 + 6

Combine like terms: 0 + 6 = 6
6a = 6

Divide each side by '6'.
a = 1

Simplifying
a = 1