(21b-8)-5(4b+1)=-2

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Solution for (21b-8)-5(4b+1)=-2 equation:


Simplifying
(21b + -8) + -5(4b + 1) = -2

Reorder the terms:
(-8 + 21b) + -5(4b + 1) = -2

Remove parenthesis around (-8 + 21b)
-8 + 21b + -5(4b + 1) = -2

Reorder the terms:
-8 + 21b + -5(1 + 4b) = -2
-8 + 21b + (1 * -5 + 4b * -5) = -2
-8 + 21b + (-5 + -20b) = -2

Reorder the terms:
-8 + -5 + 21b + -20b = -2

Combine like terms: -8 + -5 = -13
-13 + 21b + -20b = -2

Combine like terms: 21b + -20b = 1b
-13 + 1b = -2

Solving
-13 + 1b = -2

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -2 + 13
1b = -2 + 13

Combine like terms: -2 + 13 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11

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