(16b-1)-5(3b+1)=-7

Solution for (16b-1)-5(3b+1)=-7 equation:

Simplifying
(16b + -1) + -5(3b + 1) = -7

Reorder the terms:
(-1 + 16b) + -5(3b + 1) = -7

Remove parenthesis around (-1 + 16b)
-1 + 16b + -5(3b + 1) = -7

Reorder the terms:
-1 + 16b + -5(1 + 3b) = -7
-1 + 16b + (1 * -5 + 3b * -5) = -7
-1 + 16b + (-5 + -15b) = -7

Reorder the terms:
-1 + -5 + 16b + -15b = -7

Combine like terms: -1 + -5 = -6
-6 + 16b + -15b = -7

Combine like terms: 16b + -15b = 1b
-6 + 1b = -7

Solving
-6 + 1b = -7

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 1b = -7 + 6

Combine like terms: -6 + 6 = 0
0 + 1b = -7 + 6
1b = -7 + 6

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

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

Simplifying
b = -1