5b+2(-6+4b)=24+b

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Solution for 5b+2(-6+4b)=24+b equation:


Simplifying
5b + 2(-6 + 4b) = 24 + b
5b + (-6 * 2 + 4b * 2) = 24 + b
5b + (-12 + 8b) = 24 + b

Reorder the terms:
-12 + 5b + 8b = 24 + b

Combine like terms: 5b + 8b = 13b
-12 + 13b = 24 + b

Solving
-12 + 13b = 24 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
-12 + 13b + -1b = 24 + b + -1b

Combine like terms: 13b + -1b = 12b
-12 + 12b = 24 + b + -1b

Combine like terms: b + -1b = 0
-12 + 12b = 24 + 0
-12 + 12b = 24

Add '12' to each side of the equation.
-12 + 12 + 12b = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 12b = 24 + 12
12b = 24 + 12

Combine like terms: 24 + 12 = 36
12b = 36

Divide each side by '12'.
b = 3

Simplifying
b = 3

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