(21b-9)-5(4b+1)=-5

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Solution for (21b-9)-5(4b+1)=-5 equation:


Simplifying
(21b + -9) + -5(4b + 1) = -5

Reorder the terms:
(-9 + 21b) + -5(4b + 1) = -5

Remove parenthesis around (-9 + 21b)
-9 + 21b + -5(4b + 1) = -5

Reorder the terms:
-9 + 21b + -5(1 + 4b) = -5
-9 + 21b + (1 * -5 + 4b * -5) = -5
-9 + 21b + (-5 + -20b) = -5

Reorder the terms:
-9 + -5 + 21b + -20b = -5

Combine like terms: -9 + -5 = -14
-14 + 21b + -20b = -5

Combine like terms: 21b + -20b = 1b
-14 + 1b = -5

Solving
-14 + 1b = -5

Solving for variable 'b'.

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

Add '14' to each side of the equation.
-14 + 14 + 1b = -5 + 14

Combine like terms: -14 + 14 = 0
0 + 1b = -5 + 14
1b = -5 + 14

Combine like terms: -5 + 14 = 9
1b = 9

Divide each side by '1'.
b = 9

Simplifying
b = 9

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