(4a-2b)+(-3a-4b)=0

Solution for (4a-2b)+(-3a-4b)=0 equation:

Simplifying
(4a + -2b) + (-3a + -4b) = 0

Remove parenthesis around (4a + -2b)
4a + -2b + (-3a + -4b) = 0

Remove parenthesis around (-3a + -4b)
4a + -2b + -3a + -4b = 0

Reorder the terms:
4a + -3a + -2b + -4b = 0

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

Combine like terms: -2b + -4b = -6b
1a + -6b = 0

Solving
1a + -6b = 0

Solving for variable 'a'.

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

Add '6b' to each side of the equation.
1a + -6b + 6b = 0 + 6b

Combine like terms: -6b + 6b = 0
1a + 0 = 0 + 6b
1a = 0 + 6b
Remove the zero:
1a = 6b

Divide each side by '1'.
a = 6b

Simplifying
a = 6b