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

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

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

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

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

Reorder the terms:
-6 + 21b + -5(3 + 4b) = -2
-6 + 21b + (3 * -5 + 4b * -5) = -2
-6 + 21b + (-15 + -20b) = -2

Reorder the terms:
-6 + -15 + 21b + -20b = -2

Combine like terms: -6 + -15 = -21
-21 + 21b + -20b = -2

Combine like terms: 21b + -20b = 1b
-21 + 1b = -2

Solving
-21 + 1b = -2

Solving for variable 'b'.

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

Add '21' to each side of the equation.
-21 + 21 + 1b = -2 + 21

Combine like terms: -21 + 21 = 0
0 + 1b = -2 + 21
1b = -2 + 21

Combine like terms: -2 + 21 = 19
1b = 19

Divide each side by '1'.
b = 19

Simplifying
b = 19