-41=-6+7(1+6b)

Solution for -41=-6+7(1+6b) equation:

Simplifying
-41 = -6 + 7(1 + 6b)
-41 = -6 + (1 * 7 + 6b * 7)
-41 = -6 + (7 + 42b)

Combine like terms: -6 + 7 = 1
-41 = 1 + 42b

Solving
-41 = 1 + 42b

Solving for variable 'b'.

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

Add '-42b' to each side of the equation.
-41 + -42b = 1 + 42b + -42b

Combine like terms: 42b + -42b = 0
-41 + -42b = 1 + 0
-41 + -42b = 1

Add '41' to each side of the equation.
-41 + 41 + -42b = 1 + 41

Combine like terms: -41 + 41 = 0
0 + -42b = 1 + 41
-42b = 1 + 41

Combine like terms: 1 + 41 = 42
-42b = 42

Divide each side by '-42'.
b = -1

Simplifying
b = -1