-6(a-b)+3(a-b)-4(a-b)=

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

Simplifying
-6(a + -1b) + 3(a + -1b) + -4(a + -1b) = 0
(a * -6 + -1b * -6) + 3(a + -1b) + -4(a + -1b) = 0
(-6a + 6b) + 3(a + -1b) + -4(a + -1b) = 0
-6a + 6b + (a * 3 + -1b * 3) + -4(a + -1b) = 0
-6a + 6b + (3a + -3b) + -4(a + -1b) = 0
-6a + 6b + 3a + -3b + (a * -4 + -1b * -4) = 0
-6a + 6b + 3a + -3b + (-4a + 4b) = 0

Reorder the terms:
-6a + 3a + -4a + 6b + -3b + 4b = 0

Combine like terms: -6a + 3a = -3a
-3a + -4a + 6b + -3b + 4b = 0

Combine like terms: -3a + -4a = -7a
-7a + 6b + -3b + 4b = 0

Combine like terms: 6b + -3b = 3b
-7a + 3b + 4b = 0

Combine like terms: 3b + 4b = 7b
-7a + 7b = 0

Solving
-7a + 7b = 0

Solving for variable 'a'.

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

Add '-7b' to each side of the equation.
-7a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
-7a + 0 = 0 + -7b
-7a = 0 + -7b
Remove the zero:
-7a = -7b

Divide each side by '-7'.
a = b

Simplifying
a = b