(21b-8)-5(4b+4)=-7

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Solution for (21b-8)-5(4b+4)=-7 equation:


Simplifying
(21b + -8) + -5(4b + 4) = -7

Reorder the terms:
(-8 + 21b) + -5(4b + 4) = -7

Remove parenthesis around (-8 + 21b)
-8 + 21b + -5(4b + 4) = -7

Reorder the terms:
-8 + 21b + -5(4 + 4b) = -7
-8 + 21b + (4 * -5 + 4b * -5) = -7
-8 + 21b + (-20 + -20b) = -7

Reorder the terms:
-8 + -20 + 21b + -20b = -7

Combine like terms: -8 + -20 = -28
-28 + 21b + -20b = -7

Combine like terms: 21b + -20b = 1b
-28 + 1b = -7

Solving
-28 + 1b = -7

Solving for variable 'b'.

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

Add '28' to each side of the equation.
-28 + 28 + 1b = -7 + 28

Combine like terms: -28 + 28 = 0
0 + 1b = -7 + 28
1b = -7 + 28

Combine like terms: -7 + 28 = 21
1b = 21

Divide each side by '1'.
b = 21

Simplifying
b = 21

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