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

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

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

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

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

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

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

Solving
6 + 1a = 1 + -1a

Solving for variable 'a'.

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

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

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

Combine like terms: -1a + a = 0
6 + 2a = 1 + 0
6 + 2a = 1

Add '-6' to each side of the equation.
6 + -6 + 2a = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 1 + -6
2a = 1 + -6

Combine like terms: 1 + -6 = -5
2a = -5

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5