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

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


Simplifying
8b + -1(4 + -1b) = 5b + 24
8b + (4 * -1 + -1b * -1) = 5b + 24
8b + (-4 + 1b) = 5b + 24

Reorder the terms:
-4 + 8b + 1b = 5b + 24

Combine like terms: 8b + 1b = 9b
-4 + 9b = 5b + 24

Reorder the terms:
-4 + 9b = 24 + 5b

Solving
-4 + 9b = 24 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
-4 + 9b + -5b = 24 + 5b + -5b

Combine like terms: 9b + -5b = 4b
-4 + 4b = 24 + 5b + -5b

Combine like terms: 5b + -5b = 0
-4 + 4b = 24 + 0
-4 + 4b = 24

Add '4' to each side of the equation.
-4 + 4 + 4b = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 4b = 24 + 4
4b = 24 + 4

Combine like terms: 24 + 4 = 28
4b = 28

Divide each side by '4'.
b = 7

Simplifying
b = 7

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