6=.83(12-b)+1

Solution for 6=.83(12-b)+1 equation:

Simplifying
6 = 0.83(12 + -1b) + 1
6 = (12 * 0.83 + -1b * 0.83) + 1
6 = (9.96 + -0.83b) + 1

Reorder the terms:
6 = 9.96 + 1 + -0.83b

Combine like terms: 9.96 + 1 = 10.96
6 = 10.96 + -0.83b

Solving
6 = 10.96 + -0.83b

Solving for variable 'b'.

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

Add '0.83b' to each side of the equation.
6 + 0.83b = 10.96 + -0.83b + 0.83b

Combine like terms: -0.83b + 0.83b = 0.00
6 + 0.83b = 10.96 + 0.00
6 + 0.83b = 10.96

Add '-6' to each side of the equation.
6 + -6 + 0.83b = 10.96 + -6

Combine like terms: 6 + -6 = 0
0 + 0.83b = 10.96 + -6
0.83b = 10.96 + -6

Combine like terms: 10.96 + -6 = 4.96
0.83b = 4.96

Divide each side by '0.83'.
b = 5.975903614

Simplifying
b = 5.975903614