3(4b+3)+(13b-3)=0

Solution for 3(4b+3)+(13b-3)=0 equation:

Simplifying
3(4b + 3) + (13b + -3) = 0

Reorder the terms:
3(3 + 4b) + (13b + -3) = 0
(3 * 3 + 4b * 3) + (13b + -3) = 0
(9 + 12b) + (13b + -3) = 0

Reorder the terms:
9 + 12b + (-3 + 13b) = 0

Remove parenthesis around (-3 + 13b)
9 + 12b + -3 + 13b = 0

Reorder the terms:
9 + -3 + 12b + 13b = 0

Combine like terms: 9 + -3 = 6
6 + 12b + 13b = 0

Combine like terms: 12b + 13b = 25b
6 + 25b = 0

Solving
6 + 25b = 0

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + 25b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 25b = 0 + -6
25b = 0 + -6

Combine like terms: 0 + -6 = -6
25b = -6

Divide each side by '25'.
b = -0.24

Simplifying
b = -0.24