-a+2(3+a)=-4(a+1)

Solution for -a+2(3+a)=-4(a+1) equation:

Simplifying
-1a + 2(3 + a) = -4(a + 1)
-1a + (3 * 2 + a * 2) = -4(a + 1)
-1a + (6 + 2a) = -4(a + 1)

Reorder the terms:
6 + -1a + 2a = -4(a + 1)

Combine like terms: -1a + 2a = 1a
6 + 1a = -4(a + 1)

Reorder the terms:
6 + 1a = -4(1 + a)
6 + 1a = (1 * -4 + a * -4)
6 + 1a = (-4 + -4a)

Solving
6 + 1a = -4 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + 1a + 4a = -4 + -4a + 4a

Combine like terms: 1a + 4a = 5a
6 + 5a = -4 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 5a = -4 + 0
6 + 5a = -4

Add '-6' to each side of the equation.
6 + -6 + 5a = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = -4 + -6
5a = -4 + -6

Combine like terms: -4 + -6 = -10
5a = -10

Divide each side by '5'.
a = -2

Simplifying
a = -2