1=.10(10)+b

Solution for 1=.10(10)+b equation:

Simplifying
1 = 0.10(10) + b

Multiply 0.10 * 10
1 = 1 + b

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

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

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

Solving
0 = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
0 + -1b = b + -1b
Remove the zero:
-1b = b + -1b

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

Divide each side by '-1'.
b = 0

Simplifying
b = 0