-7(b-2)+2(1+6b)=-4

Solution for -7(b-2)+2(1+6b)=-4 equation:

Simplifying
-7(b + -2) + 2(1 + 6b) = -4

Reorder the terms:
-7(-2 + b) + 2(1 + 6b) = -4
(-2 * -7 + b * -7) + 2(1 + 6b) = -4
(14 + -7b) + 2(1 + 6b) = -4
14 + -7b + (1 * 2 + 6b * 2) = -4
14 + -7b + (2 + 12b) = -4

Reorder the terms:
14 + 2 + -7b + 12b = -4

Combine like terms: 14 + 2 = 16
16 + -7b + 12b = -4

Combine like terms: -7b + 12b = 5b
16 + 5b = -4

Solving
16 + 5b = -4

Solving for variable 'b'.

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

Add '-16' to each side of the equation.
16 + -16 + 5b = -4 + -16

Combine like terms: 16 + -16 = 0
0 + 5b = -4 + -16
5b = -4 + -16

Combine like terms: -4 + -16 = -20
5b = -20

Divide each side by '5'.
b = -4

Simplifying
b = -4