-3(4b+3)+(13b-6)=0

Solution for -3(4b+3)+(13b-6)=0 equation:

Simplifying
-3(4b + 3) + (13b + -6) = 0

Reorder the terms:
-3(3 + 4b) + (13b + -6) = 0
(3 * -3 + 4b * -3) + (13b + -6) = 0
(-9 + -12b) + (13b + -6) = 0

Reorder the terms:
-9 + -12b + (-6 + 13b) = 0

Remove parenthesis around (-6 + 13b)
-9 + -12b + -6 + 13b = 0

Reorder the terms:
-9 + -6 + -12b + 13b = 0

Combine like terms: -9 + -6 = -15
-15 + -12b + 13b = 0

Combine like terms: -12b + 13b = 1b
-15 + 1b = 0

Solving
-15 + 1b = 0

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 1b = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1b = 0 + 15
1b = 0 + 15

Combine like terms: 0 + 15 = 15
1b = 15

Divide each side by '1'.
b = 15

Simplifying
b = 15