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

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

Simplifying
3(b + 4) + 4b = 4 + -1(2 + -6b)

Reorder the terms:
3(4 + b) + 4b = 4 + -1(2 + -6b)
(4 * 3 + b * 3) + 4b = 4 + -1(2 + -6b)
(12 + 3b) + 4b = 4 + -1(2 + -6b)

Combine like terms: 3b + 4b = 7b
12 + 7b = 4 + -1(2 + -6b)
12 + 7b = 4 + (2 * -1 + -6b * -1)
12 + 7b = 4 + (-2 + 6b)

Combine like terms: 4 + -2 = 2
12 + 7b = 2 + 6b

Solving
12 + 7b = 2 + 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.
12 + 7b + -6b = 2 + 6b + -6b

Combine like terms: 7b + -6b = 1b
12 + 1b = 2 + 6b + -6b

Combine like terms: 6b + -6b = 0
12 + 1b = 2 + 0
12 + 1b = 2

Add '-12' to each side of the equation.
12 + -12 + 1b = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 1b = 2 + -12
1b = 2 + -12

Combine like terms: 2 + -12 = -10
1b = -10

Divide each side by '1'.
b = -10

Simplifying
b = -10