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

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

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

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

Combine like terms: 6 + -1 = 5
5 + -4a = -3a + -2(a + -1)

Reorder the terms:
5 + -4a = -3a + -2(-1 + a)
5 + -4a = -3a + (-1 * -2 + a * -2)
5 + -4a = -3a + (2 + -2a)

Reorder the terms:
5 + -4a = 2 + -3a + -2a

Combine like terms: -3a + -2a = -5a
5 + -4a = 2 + -5a

Solving
5 + -4a = 2 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
5 + -4a + 5a = 2 + -5a + 5a

Combine like terms: -4a + 5a = 1a
5 + 1a = 2 + -5a + 5a

Combine like terms: -5a + 5a = 0
5 + 1a = 2 + 0
5 + 1a = 2

Add '-5' to each side of the equation.
5 + -5 + 1a = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 1a = 2 + -5
1a = 2 + -5

Combine like terms: 2 + -5 = -3
1a = -3

Divide each side by '1'.
a = -3

Simplifying
a = -3