-6(2b+1)+1(13b-7)=0

Solution for -6(2b+1)+1(13b-7)=0 equation:

Simplifying
-6(2b + 1) + 1(13b + -7) = 0

Reorder the terms:
-6(1 + 2b) + 1(13b + -7) = 0
(1 * -6 + 2b * -6) + 1(13b + -7) = 0
(-6 + -12b) + 1(13b + -7) = 0

Reorder the terms:
-6 + -12b + 1(-7 + 13b) = 0
-6 + -12b + (-7 * 1 + 13b * 1) = 0
-6 + -12b + (-7 + 13b) = 0

Reorder the terms:
-6 + -7 + -12b + 13b = 0

Combine like terms: -6 + -7 = -13
-13 + -12b + 13b = 0

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

Solving
-13 + 1b = 0

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = 0 + 13

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

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

Divide each side by '1'.
b = 13

Simplifying
b = 13