(37b-6)-9(4b+1)=-5

Solution for (37b-6)-9(4b+1)=-5 equation:

Simplifying
(37b + -6) + -9(4b + 1) = -5

Reorder the terms:
(-6 + 37b) + -9(4b + 1) = -5

Remove parenthesis around (-6 + 37b)
-6 + 37b + -9(4b + 1) = -5

Reorder the terms:
-6 + 37b + -9(1 + 4b) = -5
-6 + 37b + (1 * -9 + 4b * -9) = -5
-6 + 37b + (-9 + -36b) = -5

Reorder the terms:
-6 + -9 + 37b + -36b = -5

Combine like terms: -6 + -9 = -15
-15 + 37b + -36b = -5

Combine like terms: 37b + -36b = 1b
-15 + 1b = -5

Solving
-15 + 1b = -5

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 1b = -5 + 15

Combine like terms: -15 + 15 = 0
0 + 1b = -5 + 15
1b = -5 + 15

Combine like terms: -5 + 15 = 10
1b = 10

Divide each side by '1'.
b = 10

Simplifying
b = 10