5(b+9)-2(1-b)=1

Solution for 5(b+9)-2(1-b)=1 equation:

Simplifying
5(b + 9) + -2(1 + -1b) = 1

Reorder the terms:
5(9 + b) + -2(1 + -1b) = 1
(9 * 5 + b * 5) + -2(1 + -1b) = 1
(45 + 5b) + -2(1 + -1b) = 1
45 + 5b + (1 * -2 + -1b * -2) = 1
45 + 5b + (-2 + 2b) = 1

Reorder the terms:
45 + -2 + 5b + 2b = 1

Combine like terms: 45 + -2 = 43
43 + 5b + 2b = 1

Combine like terms: 5b + 2b = 7b
43 + 7b = 1

Solving
43 + 7b = 1

Solving for variable 'b'.

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

Add '-43' to each side of the equation.
43 + -43 + 7b = 1 + -43

Combine like terms: 43 + -43 = 0
0 + 7b = 1 + -43
7b = 1 + -43

Combine like terms: 1 + -43 = -42
7b = -42

Divide each side by '7'.
b = -6

Simplifying
b = -6