(11b-9)-5(2b+3)=-3

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Solution for (11b-9)-5(2b+3)=-3 equation:


Simplifying
(11b + -9) + -5(2b + 3) = -3

Reorder the terms:
(-9 + 11b) + -5(2b + 3) = -3

Remove parenthesis around (-9 + 11b)
-9 + 11b + -5(2b + 3) = -3

Reorder the terms:
-9 + 11b + -5(3 + 2b) = -3
-9 + 11b + (3 * -5 + 2b * -5) = -3
-9 + 11b + (-15 + -10b) = -3

Reorder the terms:
-9 + -15 + 11b + -10b = -3

Combine like terms: -9 + -15 = -24
-24 + 11b + -10b = -3

Combine like terms: 11b + -10b = 1b
-24 + 1b = -3

Solving
-24 + 1b = -3

Solving for variable 'b'.

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

Add '24' to each side of the equation.
-24 + 24 + 1b = -3 + 24

Combine like terms: -24 + 24 = 0
0 + 1b = -3 + 24
1b = -3 + 24

Combine like terms: -3 + 24 = 21
1b = 21

Divide each side by '1'.
b = 21

Simplifying
b = 21

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