2-4b-3[a-2(3a+b-2)-1+3b]=

Solution for 2-4b-3[a-2(3a+b-2)-1+3b]= equation:

Simplifying
2 + -4b + -3[a + -2(3a + b + -2) + -1 + 3b] = 0

Reorder the terms:
2 + -4b + -3[a + -2(-2 + 3a + b) + -1 + 3b] = 0
2 + -4b + -3[a + (-2 * -2 + 3a * -2 + b * -2) + -1 + 3b] = 0
2 + -4b + -3[a + (4 + -6a + -2b) + -1 + 3b] = 0

Reorder the terms:
2 + -4b + -3[4 + -1 + a + -6a + -2b + 3b] = 0

Combine like terms: 4 + -1 = 3
2 + -4b + -3[3 + a + -6a + -2b + 3b] = 0

Combine like terms: a + -6a = -5a
2 + -4b + -3[3 + -5a + -2b + 3b] = 0

Combine like terms: -2b + 3b = 1b
2 + -4b + -3[3 + -5a + 1b] = 0
2 + -4b + [3 * -3 + -5a * -3 + 1b * -3] = 0
2 + -4b + [-9 + 15a + -3b] = 0

Reorder the terms:
2 + -9 + 15a + -4b + -3b = 0

Combine like terms: 2 + -9 = -7
-7 + 15a + -4b + -3b = 0

Combine like terms: -4b + -3b = -7b
-7 + 15a + -7b = 0

Solving
-7 + 15a + -7b = 0

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 15a + 7 + -7b = 0 + 7

Reorder the terms:
-7 + 7 + 15a + -7b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 15a + -7b = 0 + 7
15a + -7b = 0 + 7

Combine like terms: 0 + 7 = 7
15a + -7b = 7

Add '7b' to each side of the equation.
15a + -7b + 7b = 7 + 7b

Combine like terms: -7b + 7b = 0
15a + 0 = 7 + 7b
15a = 7 + 7b

Divide each side by '15'.
a = 0.4666666667 + 0.4666666667b

Simplifying
a = 0.4666666667 + 0.4666666667b