-(b-2)-3(1+6b)=37

Solution for -(b-2)-3(1+6b)=37 equation:

Simplifying
-1(b + -2) + -3(1 + 6b) = 37

Reorder the terms:
-1(-2 + b) + -3(1 + 6b) = 37
(-2 * -1 + b * -1) + -3(1 + 6b) = 37
(2 + -1b) + -3(1 + 6b) = 37
2 + -1b + (1 * -3 + 6b * -3) = 37
2 + -1b + (-3 + -18b) = 37

Reorder the terms:
2 + -3 + -1b + -18b = 37

Combine like terms: 2 + -3 = -1
-1 + -1b + -18b = 37

Combine like terms: -1b + -18b = -19b
-1 + -19b = 37

Solving
-1 + -19b = 37

Solving for variable 'b'.

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

Add '1' to each side of the equation.
-1 + 1 + -19b = 37 + 1

Combine like terms: -1 + 1 = 0
0 + -19b = 37 + 1
-19b = 37 + 1

Combine like terms: 37 + 1 = 38
-19b = 38

Divide each side by '-19'.
b = -2

Simplifying
b = -2