-82=-7(b+3)-5

Solution for -82=-7(b+3)-5 equation:

Simplifying
-82 = -7(b + 3) + -5

Reorder the terms:
-82 = -7(3 + b) + -5
-82 = (3 * -7 + b * -7) + -5
-82 = (-21 + -7b) + -5

Reorder the terms:
-82 = -21 + -5 + -7b

Combine like terms: -21 + -5 = -26
-82 = -26 + -7b

Solving
-82 = -26 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
-82 + 7b = -26 + -7b + 7b

Combine like terms: -7b + 7b = 0
-82 + 7b = -26 + 0
-82 + 7b = -26

Add '82' to each side of the equation.
-82 + 82 + 7b = -26 + 82

Combine like terms: -82 + 82 = 0
0 + 7b = -26 + 82
7b = -26 + 82

Combine like terms: -26 + 82 = 56
7b = 56

Divide each side by '7'.
b = 8

Simplifying
b = 8