-6(2b+1)+(13b-6)=0

Solution for -6(2b+1)+(13b-6)=0 equation:

Simplifying
-6(2b + 1) + (13b + -6) = 0

Reorder the terms:
-6(1 + 2b) + (13b + -6) = 0
(1 * -6 + 2b * -6) + (13b + -6) = 0
(-6 + -12b) + (13b + -6) = 0

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

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

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

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

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

Solving
-12 + 1b = 0

Solving for variable 'b'.

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

Add '12' to each side of the equation.
-12 + 12 + 1b = 0 + 12

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

Combine like terms: 0 + 12 = 12
1b = 12

Divide each side by '1'.
b = 12

Simplifying
b = 12