b+(b+80)+.07(b+b+80)=294.25

Solution for b+(b+80)+.07(b+b+80)=294.25 equation:

Simplifying
b + (b + 80) + 0.07(b + b + 80) = 294.25

Reorder the terms:
b + (80 + b) + 0.07(b + b + 80) = 294.25

Remove parenthesis around (80 + b)
b + 80 + b + 0.07(b + b + 80) = 294.25

Reorder the terms:
b + 80 + b + 0.07(80 + b + b) = 294.25

Combine like terms: b + b = 2b
b + 80 + b + 0.07(80 + 2b) = 294.25
b + 80 + b + (80 * 0.07 + 2b * 0.07) = 294.25
b + 80 + b + (5.6 + 0.14b) = 294.25

Reorder the terms:
80 + 5.6 + b + b + 0.14b = 294.25

Combine like terms: 80 + 5.6 = 85.6
85.6 + b + b + 0.14b = 294.25

Combine like terms: b + b = 2b
85.6 + 2b + 0.14b = 294.25

Combine like terms: 2b + 0.14b = 2.14b
85.6 + 2.14b = 294.25

Solving
85.6 + 2.14b = 294.25

Solving for variable 'b'.

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

Add '-85.6' to each side of the equation.
85.6 + -85.6 + 2.14b = 294.25 + -85.6

Combine like terms: 85.6 + -85.6 = 0.0
0.0 + 2.14b = 294.25 + -85.6
2.14b = 294.25 + -85.6

Combine like terms: 294.25 + -85.6 = 208.65
2.14b = 208.65

Divide each side by '2.14'.
b = 97.5

Simplifying
b = 97.5