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

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

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

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

Reorder the terms:
-6 + -12b + 13(-7 + b) = 0
-6 + -12b + (-7 * 13 + b * 13) = 0
-6 + -12b + (-91 + 13b) = 0

Reorder the terms:
-6 + -91 + -12b + 13b = 0

Combine like terms: -6 + -91 = -97
-97 + -12b + 13b = 0

Combine like terms: -12b + 13b = 1b
-97 + 1b = 0

Solving
-97 + 1b = 0

Solving for variable 'b'.

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

Add '97' to each side of the equation.
-97 + 97 + 1b = 0 + 97

Combine like terms: -97 + 97 = 0
0 + 1b = 0 + 97
1b = 0 + 97

Combine like terms: 0 + 97 = 97
1b = 97

Divide each side by '1'.
b = 97

Simplifying
b = 97