7a-3-[(3-a)-2(a-3b)]-4b=

Solution for 7a-3-[(3-a)-2(a-3b)]-4b= equation:

Simplifying
7a + -3 + -1[(3 + -1a) + -2(a + -3b)] + -4b = 0

Remove parenthesis around (3 + -1a)
7a + -3 + -1[3 + -1a + -2(a + -3b)] + -4b = 0
7a + -3 + -1[3 + -1a + (a * -2 + -3b * -2)] + -4b = 0
7a + -3 + -1[3 + -1a + (-2a + 6b)] + -4b = 0

Combine like terms: -1a + -2a = -3a
7a + -3 + -1[3 + -3a + 6b] + -4b = 0
7a + -3 + [3 * -1 + -3a * -1 + 6b * -1] + -4b = 0
7a + -3 + [-3 + 3a + -6b] + -4b = 0

Reorder the terms:
-3 + -3 + 7a + 3a + -6b + -4b = 0

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

Combine like terms: 7a + 3a = 10a
-6 + 10a + -6b + -4b = 0

Combine like terms: -6b + -4b = -10b
-6 + 10a + -10b = 0

Solving
-6 + 10a + -10b = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 10a + 6 + -10b = 0 + 6

Reorder the terms:
-6 + 6 + 10a + -10b = 0 + 6

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

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

Add '10b' to each side of the equation.
10a + -10b + 10b = 6 + 10b

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

Divide each side by '10'.
a = 0.6 + b

Simplifying
a = 0.6 + b