-17=7(6+b)+6(1+b)

Solution for -17=7(6+b)+6(1+b) equation:

Simplifying
-17 = 7(6 + b) + 6(1 + b)
-17 = (6 * 7 + b * 7) + 6(1 + b)
-17 = (42 + 7b) + 6(1 + b)
-17 = 42 + 7b + (1 * 6 + b * 6)
-17 = 42 + 7b + (6 + 6b)

Reorder the terms:
-17 = 42 + 6 + 7b + 6b

Combine like terms: 42 + 6 = 48
-17 = 48 + 7b + 6b

Combine like terms: 7b + 6b = 13b
-17 = 48 + 13b

Solving
-17 = 48 + 13b

Solving for variable 'b'.

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

Add '-13b' to each side of the equation.
-17 + -13b = 48 + 13b + -13b

Combine like terms: 13b + -13b = 0
-17 + -13b = 48 + 0
-17 + -13b = 48

Add '17' to each side of the equation.
-17 + 17 + -13b = 48 + 17

Combine like terms: -17 + 17 = 0
0 + -13b = 48 + 17
-13b = 48 + 17

Combine like terms: 48 + 17 = 65
-13b = 65

Divide each side by '-13'.
b = -5

Simplifying
b = -5