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

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

Simplifying
3(a + 4b) + -2(a + 2b) = 0
(a * 3 + 4b * 3) + -2(a + 2b) = 0
(3a + 12b) + -2(a + 2b) = 0
3a + 12b + (a * -2 + 2b * -2) = 0
3a + 12b + (-2a + -4b) = 0

Reorder the terms:
3a + -2a + 12b + -4b = 0

Combine like terms: 3a + -2a = 1a
1a + 12b + -4b = 0

Combine like terms: 12b + -4b = 8b
1a + 8b = 0

Solving
1a + 8b = 0

Solving for variable 'a'.

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

Add '-8b' to each side of the equation.
1a + 8b + -8b = 0 + -8b

Combine like terms: 8b + -8b = 0
1a + 0 = 0 + -8b
1a = 0 + -8b
Remove the zero:
1a = -8b

Divide each side by '1'.
a = -8b

Simplifying
a = -8b