7b+3-4b=3-3[b+4]

Solution for 7b+3-4b=3-3[b+4] equation:

Simplifying
7b + 3 + -4b = 3 + -3[b + 4]

Reorder the terms:
3 + 7b + -4b = 3 + -3[b + 4]

Combine like terms: 7b + -4b = 3b
3 + 3b = 3 + -3[b + 4]

Reorder the terms:
3 + 3b = 3 + -3[4 + b]
3 + 3b = 3 + [4 * -3 + b * -3]
3 + 3b = 3 + [-12 + -3b]

Combine like terms: 3 + -12 = -9
3 + 3b = -9 + -3b

Solving
3 + 3b = -9 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
3 + 3b + 3b = -9 + -3b + 3b

Combine like terms: 3b + 3b = 6b
3 + 6b = -9 + -3b + 3b

Combine like terms: -3b + 3b = 0
3 + 6b = -9 + 0
3 + 6b = -9

Add '-3' to each side of the equation.
3 + -3 + 6b = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 6b = -9 + -3
6b = -9 + -3

Combine like terms: -9 + -3 = -12
6b = -12

Divide each side by '6'.
b = -2

Simplifying
b = -2