10(2b+1)+(13b-7)=0

Solution for 10(2b+1)+(13b-7)=0 equation:

Simplifying
10(2b + 1) + (13b + -7) = 0

Reorder the terms:
10(1 + 2b) + (13b + -7) = 0
(1 * 10 + 2b * 10) + (13b + -7) = 0
(10 + 20b) + (13b + -7) = 0

Reorder the terms:
10 + 20b + (-7 + 13b) = 0

Remove parenthesis around (-7 + 13b)
10 + 20b + -7 + 13b = 0

Reorder the terms:
10 + -7 + 20b + 13b = 0

Combine like terms: 10 + -7 = 3
3 + 20b + 13b = 0

Combine like terms: 20b + 13b = 33b
3 + 33b = 0

Solving
3 + 33b = 0

Solving for variable 'b'.

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

Add '-3' to each side of the equation.
3 + -3 + 33b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 33b = 0 + -3
33b = 0 + -3

Combine like terms: 0 + -3 = -3
33b = -3

Divide each side by '33'.
b = -0.09090909091

Simplifying
b = -0.09090909091