6=4(6-2b)+2(b+3)

Solution for 6=4(6-2b)+2(b+3) equation:

Simplifying
6 = 4(6 + -2b) + 2(b + 3)
6 = (6 * 4 + -2b * 4) + 2(b + 3)
6 = (24 + -8b) + 2(b + 3)

Reorder the terms:
6 = 24 + -8b + 2(3 + b)
6 = 24 + -8b + (3 * 2 + b * 2)
6 = 24 + -8b + (6 + 2b)

Reorder the terms:
6 = 24 + 6 + -8b + 2b

Combine like terms: 24 + 6 = 30
6 = 30 + -8b + 2b

Combine like terms: -8b + 2b = -6b
6 = 30 + -6b

Solving
6 = 30 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
6 + 6b = 30 + -6b + 6b

Combine like terms: -6b + 6b = 0
6 + 6b = 30 + 0
6 + 6b = 30

Add '-6' to each side of the equation.
6 + -6 + 6b = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 6b = 30 + -6
6b = 30 + -6

Combine like terms: 30 + -6 = 24
6b = 24

Divide each side by '6'.
b = 4

Simplifying
b = 4