1=3(1+3b)+5b

Solution for 1=3(1+3b)+5b equation:

Simplifying
1 = 3(1 + 3b) + 5b
1 = (1 * 3 + 3b * 3) + 5b
1 = (3 + 9b) + 5b

Combine like terms: 9b + 5b = 14b
1 = 3 + 14b

Solving
1 = 3 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
1 + -14b = 3 + 14b + -14b

Combine like terms: 14b + -14b = 0
1 + -14b = 3 + 0
1 + -14b = 3

Add '-1' to each side of the equation.
1 + -1 + -14b = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -14b = 3 + -1
-14b = 3 + -1

Combine like terms: 3 + -1 = 2
-14b = 2

Divide each side by '-14'.
b = -0.1428571429

Simplifying
b = -0.1428571429