13(8-b)+3.7b=-5.2

Solution for 13(8-b)+3.7b=-5.2 equation:

Simplifying
13(8 + -1b) + 3.7b = -5.2
(8 * 13 + -1b * 13) + 3.7b = -5.2
(104 + -13b) + 3.7b = -5.2

Combine like terms: -13b + 3.7b = -9.3b
104 + -9.3b = -5.2

Solving
104 + -9.3b = -5.2

Solving for variable 'b'.

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

Add '-104' to each side of the equation.
104 + -104 + -9.3b = -5.2 + -104

Combine like terms: 104 + -104 = 0
0 + -9.3b = -5.2 + -104
-9.3b = -5.2 + -104

Combine like terms: -5.2 + -104 = -109.2
-9.3b = -109.2

Divide each side by '-9.3'.
b = 11.74193548

Simplifying
b = 11.74193548