6b+15b-11b+6b-7b+9=55

Solution for 6b+15b-11b+6b-7b+9=55 equation:

Simplifying
6b + 15b + -11b + 6b + -7b + 9 = 55

Reorder the terms:
9 + 6b + 15b + -11b + 6b + -7b = 55

Combine like terms: 6b + 15b = 21b
9 + 21b + -11b + 6b + -7b = 55

Combine like terms: 21b + -11b = 10b
9 + 10b + 6b + -7b = 55

Combine like terms: 10b + 6b = 16b
9 + 16b + -7b = 55

Combine like terms: 16b + -7b = 9b
9 + 9b = 55

Solving
9 + 9b = 55

Solving for variable 'b'.

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

Add '-9' to each side of the equation.
9 + -9 + 9b = 55 + -9

Combine like terms: 9 + -9 = 0
0 + 9b = 55 + -9
9b = 55 + -9

Combine like terms: 55 + -9 = 46
9b = 46

Divide each side by '9'.
b = 5.111111111

Simplifying
b = 5.111111111