3a-2(4a-5b)+6b=

Solution for 3a-2(4a-5b)+6b= equation:

Simplifying
3a + -2(4a + -5b) + 6b = 0
3a + (4a * -2 + -5b * -2) + 6b = 0
3a + (-8a + 10b) + 6b = 0

Combine like terms: 3a + -8a = -5a
-5a + 10b + 6b = 0

Combine like terms: 10b + 6b = 16b
-5a + 16b = 0

Solving
-5a + 16b = 0

Solving for variable 'a'.

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

Add '-16b' to each side of the equation.
-5a + 16b + -16b = 0 + -16b

Combine like terms: 16b + -16b = 0
-5a + 0 = 0 + -16b
-5a = 0 + -16b
Remove the zero:
-5a = -16b

Divide each side by '-5'.
a = 3.2b

Simplifying
a = 3.2b