6=.833(12-b)+1

Solution for 6=.833(12-b)+1 equation:

Simplifying
6 = 0.833(12 + -1b) + 1
6 = (12 * 0.833 + -1b * 0.833) + 1
6 = (9.996 + -0.833b) + 1

Reorder the terms:
6 = 9.996 + 1 + -0.833b

Combine like terms: 9.996 + 1 = 10.996
6 = 10.996 + -0.833b

Solving
6 = 10.996 + -0.833b

Solving for variable 'b'.

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

Add '0.833b' to each side of the equation.
6 + 0.833b = 10.996 + -0.833b + 0.833b

Combine like terms: -0.833b + 0.833b = 0.000
6 + 0.833b = 10.996 + 0.000
6 + 0.833b = 10.996

Add '-6' to each side of the equation.
6 + -6 + 0.833b = 10.996 + -6

Combine like terms: 6 + -6 = 0
0 + 0.833b = 10.996 + -6
0.833b = 10.996 + -6

Combine like terms: 10.996 + -6 = 4.996
0.833b = 4.996

Divide each side by '0.833'.
b = 5.99759904

Simplifying
b = 5.99759904