(21b-6)-5(4b+2)=-3

Solution for (21b-6)-5(4b+2)=-3 equation:

Simplifying
(21b + -6) + -5(4b + 2) = -3

Reorder the terms:
(-6 + 21b) + -5(4b + 2) = -3

Remove parenthesis around (-6 + 21b)
-6 + 21b + -5(4b + 2) = -3

Reorder the terms:
-6 + 21b + -5(2 + 4b) = -3
-6 + 21b + (2 * -5 + 4b * -5) = -3
-6 + 21b + (-10 + -20b) = -3

Reorder the terms:
-6 + -10 + 21b + -20b = -3

Combine like terms: -6 + -10 = -16
-16 + 21b + -20b = -3

Combine like terms: 21b + -20b = 1b
-16 + 1b = -3

Solving
-16 + 1b = -3

Solving for variable 'b'.

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

Add '16' to each side of the equation.
-16 + 16 + 1b = -3 + 16

Combine like terms: -16 + 16 = 0
0 + 1b = -3 + 16
1b = -3 + 16

Combine like terms: -3 + 16 = 13
1b = 13

Divide each side by '1'.
b = 13

Simplifying
b = 13