-2(b+3)-8b=-6(2b+7)

Solution for -2(b+3)-8b=-6(2b+7) equation:

Simplifying
-2(b + 3) + -8b = -6(2b + 7)

Reorder the terms:
-2(3 + b) + -8b = -6(2b + 7)
(3 * -2 + b * -2) + -8b = -6(2b + 7)
(-6 + -2b) + -8b = -6(2b + 7)

Combine like terms: -2b + -8b = -10b
-6 + -10b = -6(2b + 7)

Reorder the terms:
-6 + -10b = -6(7 + 2b)
-6 + -10b = (7 * -6 + 2b * -6)
-6 + -10b = (-42 + -12b)

Solving
-6 + -10b = -42 + -12b

Solving for variable 'b'.

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

Add '12b' to each side of the equation.
-6 + -10b + 12b = -42 + -12b + 12b

Combine like terms: -10b + 12b = 2b
-6 + 2b = -42 + -12b + 12b

Combine like terms: -12b + 12b = 0
-6 + 2b = -42 + 0
-6 + 2b = -42

Add '6' to each side of the equation.
-6 + 6 + 2b = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 2b = -42 + 6
2b = -42 + 6

Combine like terms: -42 + 6 = -36
2b = -36

Divide each side by '2'.
b = -18

Simplifying
b = -18