6=.8333(12-b)+1

Solution for 6=.8333(12-b)+1 equation:

Simplifying
6 = 0.8333(12 + -1b) + 1
6 = (12 * 0.8333 + -1b * 0.8333) + 1
6 = (9.9996 + -0.8333b) + 1

Reorder the terms:
6 = 9.9996 + 1 + -0.8333b

Combine like terms: 9.9996 + 1 = 10.9996
6 = 10.9996 + -0.8333b

Solving
6 = 10.9996 + -0.8333b

Solving for variable 'b'.

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

Add '0.8333b' to each side of the equation.
6 + 0.8333b = 10.9996 + -0.8333b + 0.8333b

Combine like terms: -0.8333b + 0.8333b = 0.0000
6 + 0.8333b = 10.9996 + 0.0000
6 + 0.8333b = 10.9996

Add '-6' to each side of the equation.
6 + -6 + 0.8333b = 10.9996 + -6

Combine like terms: 6 + -6 = 0
0 + 0.8333b = 10.9996 + -6
0.8333b = 10.9996 + -6

Combine like terms: 10.9996 + -6 = 4.9996
0.8333b = 4.9996

Divide each side by '0.8333'.
b = 5.99975999

Simplifying
b = 5.99975999