100(b)+0.20(16-b)=0.30(16)

Solution for 100(b)+0.20(16-b)=0.30(16) equation:

Simplifying
100(b) + 0.20(16 + -1b) = 0.30(16)
100b + (16 * 0.20 + -1b * 0.20) = 0.30(16)
100b + (3.2 + -0.2b) = 0.30(16)

Reorder the terms:
3.2 + 100b + -0.2b = 0.30(16)

Combine like terms: 100b + -0.2b = 99.8b
3.2 + 99.8b = 0.30(16)

Multiply 0.30 * 16
3.2 + 99.8b = 4.8

Solving
3.2 + 99.8b = 4.8

Solving for variable 'b'.

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

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 99.8b = 4.8 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 99.8b = 4.8 + -3.2
99.8b = 4.8 + -3.2

Combine like terms: 4.8 + -3.2 = 1.6
99.8b = 1.6

Divide each side by '99.8'.
b = 0.01603206413

Simplifying
b = 0.01603206413