8b+3(11b+2)=-7(-8b-3)

Solution for 8b+3(11b+2)=-7(-8b-3) equation:

Simplifying
8b + 3(11b + 2) = -7(-8b + -3)

Reorder the terms:
8b + 3(2 + 11b) = -7(-8b + -3)
8b + (2 * 3 + 11b * 3) = -7(-8b + -3)
8b + (6 + 33b) = -7(-8b + -3)

Reorder the terms:
6 + 8b + 33b = -7(-8b + -3)

Combine like terms: 8b + 33b = 41b
6 + 41b = -7(-8b + -3)

Reorder the terms:
6 + 41b = -7(-3 + -8b)
6 + 41b = (-3 * -7 + -8b * -7)
6 + 41b = (21 + 56b)

Solving
6 + 41b = 21 + 56b

Solving for variable 'b'.

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

Add '-56b' to each side of the equation.
6 + 41b + -56b = 21 + 56b + -56b

Combine like terms: 41b + -56b = -15b
6 + -15b = 21 + 56b + -56b

Combine like terms: 56b + -56b = 0
6 + -15b = 21 + 0
6 + -15b = 21

Add '-6' to each side of the equation.
6 + -6 + -15b = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -15b = 21 + -6
-15b = 21 + -6

Combine like terms: 21 + -6 = 15
-15b = 15

Divide each side by '-15'.
b = -1

Simplifying
b = -1