(21b-5)-5(4b+1)=-3

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Solution for (21b-5)-5(4b+1)=-3 equation:


Simplifying
(21b + -5) + -5(4b + 1) = -3

Reorder the terms:
(-5 + 21b) + -5(4b + 1) = -3

Remove parenthesis around (-5 + 21b)
-5 + 21b + -5(4b + 1) = -3

Reorder the terms:
-5 + 21b + -5(1 + 4b) = -3
-5 + 21b + (1 * -5 + 4b * -5) = -3
-5 + 21b + (-5 + -20b) = -3

Reorder the terms:
-5 + -5 + 21b + -20b = -3

Combine like terms: -5 + -5 = -10
-10 + 21b + -20b = -3

Combine like terms: 21b + -20b = 1b
-10 + 1b = -3

Solving
-10 + 1b = -3

Solving for variable 'b'.

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

Add '10' to each side of the equation.
-10 + 10 + 1b = -3 + 10

Combine like terms: -10 + 10 = 0
0 + 1b = -3 + 10
1b = -3 + 10

Combine like terms: -3 + 10 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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