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

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

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

Reorder the terms:
-6 + 2b = -2 + 7b + -4b

Combine like terms: 7b + -4b = 3b
-6 + 2b = -2 + 3b

Solving
-6 + 2b = -2 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-6 + 2b + -3b = -2 + 3b + -3b

Combine like terms: 2b + -3b = -1b
-6 + -1b = -2 + 3b + -3b

Combine like terms: 3b + -3b = 0
-6 + -1b = -2 + 0
-6 + -1b = -2

Add '6' to each side of the equation.
-6 + 6 + -1b = -2 + 6

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

Combine like terms: -2 + 6 = 4
-1b = 4

Divide each side by '-1'.
b = -4

Simplifying
b = -4