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

Solution for 6+-1(2+3a)-(-4a)=-3(a-2)-4 equation:

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

Remove parenthesis around (-4a)
6 + -2 + -3a + -1 * -4a = -3(a + -2) + -4

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

Combine like terms: 6 + -2 = 4
4 + -3a + 4a = -3(a + -2) + -4

Combine like terms: -3a + 4a = 1a
4 + 1a = -3(a + -2) + -4

Reorder the terms:
4 + 1a = -3(-2 + a) + -4
4 + 1a = (-2 * -3 + a * -3) + -4
4 + 1a = (6 + -3a) + -4

Reorder the terms:
4 + 1a = 6 + -4 + -3a

Combine like terms: 6 + -4 = 2
4 + 1a = 2 + -3a

Solving
4 + 1a = 2 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
4 + 1a + 3a = 2 + -3a + 3a

Combine like terms: 1a + 3a = 4a
4 + 4a = 2 + -3a + 3a

Combine like terms: -3a + 3a = 0
4 + 4a = 2 + 0
4 + 4a = 2

Add '-4' to each side of the equation.
4 + -4 + 4a = 2 + -4

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

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

Divide each side by '4'.
a = -0.5

Simplifying
a = -0.5