477=(2b+3)+(2b+3)2+(2b+3)2(2)

Solution for 477=(2b+3)+(2b+3)2+(2b+3)2(2) equation:

Simplifying
477 = (2b + 3) + (2b + 3) * 2 + (2b + 3) * 2(2)

Reorder the terms:
477 = (3 + 2b) + (2b + 3) * 2 + (2b + 3) * 2(2)

Remove parenthesis around (3 + 2b)
477 = 3 + 2b + (2b + 3) * 2 + (2b + 3) * 2(2)

Reorder the terms:
477 = 3 + 2b + (3 + 2b) * 2 + (2b + 3) * 2(2)

Reorder the terms for easier multiplication:
477 = 3 + 2b + 2(3 + 2b) + (2b + 3) * 2(2)
477 = 3 + 2b + (3 * 2 + 2b * 2) + (2b + 3) * 2(2)
477 = 3 + 2b + (6 + 4b) + (2b + 3) * 2(2)

Reorder the terms:
477 = 3 + 2b + 6 + 4b + (3 + 2b) * 2(2)

Reorder the terms for easier multiplication:
477 = 3 + 2b + 6 + 4b + 2 * 2(3 + 2b)

Multiply 2 * 2
477 = 3 + 2b + 6 + 4b + 4(3 + 2b)
477 = 3 + 2b + 6 + 4b + (3 * 4 + 2b * 4)
477 = 3 + 2b + 6 + 4b + (12 + 8b)

Reorder the terms:
477 = 3 + 6 + 12 + 2b + 4b + 8b

Combine like terms: 3 + 6 = 9
477 = 9 + 12 + 2b + 4b + 8b

Combine like terms: 9 + 12 = 21
477 = 21 + 2b + 4b + 8b

Combine like terms: 2b + 4b = 6b
477 = 21 + 6b + 8b

Combine like terms: 6b + 8b = 14b
477 = 21 + 14b

Solving
477 = 21 + 14b

Solving for variable 'b'.

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

Add '-14b' to each side of the equation.
477 + -14b = 21 + 14b + -14b

Combine like terms: 14b + -14b = 0
477 + -14b = 21 + 0
477 + -14b = 21

Add '-477' to each side of the equation.
477 + -477 + -14b = 21 + -477

Combine like terms: 477 + -477 = 0
0 + -14b = 21 + -477
-14b = 21 + -477

Combine like terms: 21 + -477 = -456
-14b = -456

Divide each side by '-14'.
b = 32.57142857

Simplifying
b = 32.57142857