-7b-5(8b+4)=24-3b

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Solution for -7b-5(8b+4)=24-3b equation:


Simplifying
-7b + -5(8b + 4) = 24 + -3b

Reorder the terms:
-7b + -5(4 + 8b) = 24 + -3b
-7b + (4 * -5 + 8b * -5) = 24 + -3b
-7b + (-20 + -40b) = 24 + -3b

Reorder the terms:
-20 + -7b + -40b = 24 + -3b

Combine like terms: -7b + -40b = -47b
-20 + -47b = 24 + -3b

Solving
-20 + -47b = 24 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
-20 + -47b + 3b = 24 + -3b + 3b

Combine like terms: -47b + 3b = -44b
-20 + -44b = 24 + -3b + 3b

Combine like terms: -3b + 3b = 0
-20 + -44b = 24 + 0
-20 + -44b = 24

Add '20' to each side of the equation.
-20 + 20 + -44b = 24 + 20

Combine like terms: -20 + 20 = 0
0 + -44b = 24 + 20
-44b = 24 + 20

Combine like terms: 24 + 20 = 44
-44b = 44

Divide each side by '-44'.
b = -1

Simplifying
b = -1

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