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

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


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

Reorder the terms:
5b + -4(-6 + b) = 4 + 2b
5b + (-6 * -4 + b * -4) = 4 + 2b
5b + (24 + -4b) = 4 + 2b

Reorder the terms:
24 + 5b + -4b = 4 + 2b

Combine like terms: 5b + -4b = 1b
24 + 1b = 4 + 2b

Solving
24 + 1b = 4 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
24 + 1b + -2b = 4 + 2b + -2b

Combine like terms: 1b + -2b = -1b
24 + -1b = 4 + 2b + -2b

Combine like terms: 2b + -2b = 0
24 + -1b = 4 + 0
24 + -1b = 4

Add '-24' to each side of the equation.
24 + -24 + -1b = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -1b = 4 + -24
-1b = 4 + -24

Combine like terms: 4 + -24 = -20
-1b = -20

Divide each side by '-1'.
b = 20

Simplifying
b = 20

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