4a-3[6(2a-5)-4b]-3(b-5)=

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

Simplifying
4a + -3[6(2a + -5) + -4b] + -3(b + -5) = 0

Reorder the terms:
4a + -3[6(-5 + 2a) + -4b] + -3(b + -5) = 0
4a + -3[(-5 * 6 + 2a * 6) + -4b] + -3(b + -5) = 0
4a + -3[(-30 + 12a) + -4b] + -3(b + -5) = 0
4a + [-30 * -3 + 12a * -3 + -4b * -3] + -3(b + -5) = 0
4a + [90 + -36a + 12b] + -3(b + -5) = 0

Reorder the terms:
4a + 90 + -36a + 12b + -3(-5 + b) = 0
4a + 90 + -36a + 12b + (-5 * -3 + b * -3) = 0
4a + 90 + -36a + 12b + (15 + -3b) = 0

Reorder the terms:
90 + 15 + 4a + -36a + 12b + -3b = 0

Combine like terms: 90 + 15 = 105
105 + 4a + -36a + 12b + -3b = 0

Combine like terms: 4a + -36a = -32a
105 + -32a + 12b + -3b = 0

Combine like terms: 12b + -3b = 9b
105 + -32a + 9b = 0

Solving
105 + -32a + 9b = 0

Solving for variable 'a'.

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

Add '-105' to each side of the equation.
105 + -32a + -105 + 9b = 0 + -105

Reorder the terms:
105 + -105 + -32a + 9b = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -32a + 9b = 0 + -105
-32a + 9b = 0 + -105

Combine like terms: 0 + -105 = -105
-32a + 9b = -105

Add '-9b' to each side of the equation.
-32a + 9b + -9b = -105 + -9b

Combine like terms: 9b + -9b = 0
-32a + 0 = -105 + -9b
-32a = -105 + -9b

Divide each side by '-32'.
a = 3.28125 + 0.28125b

Simplifying
a = 3.28125 + 0.28125b