(3a+1)-(4a-1)=0

Solution for (3a+1)-(4a-1)=0 equation:

Simplifying
(3a + 1) + -1(4a + -1) = 0

Reorder the terms:
(1 + 3a) + -1(4a + -1) = 0

Remove parenthesis around (1 + 3a)
1 + 3a + -1(4a + -1) = 0

Reorder the terms:
1 + 3a + -1(-1 + 4a) = 0
1 + 3a + (-1 * -1 + 4a * -1) = 0
1 + 3a + (1 + -4a) = 0

Reorder the terms:
1 + 1 + 3a + -4a = 0

Combine like terms: 1 + 1 = 2
2 + 3a + -4a = 0

Combine like terms: 3a + -4a = -1a
2 + -1a = 0

Solving
2 + -1a = 0

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2