6-5(b-2)=23-6b

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Solution for 6-5(b-2)=23-6b equation: 


Simplifying
6 + -5(b + -2) = 23 + -6b

Reorder the terms:
6 + -5(-2 + b) = 23 + -6b
6 + (-2 * -5 + b * -5) = 23 + -6b
6 + (10 + -5b) = 23 + -6b

Combine like terms: 6 + 10 = 16
16 + -5b = 23 + -6b

Solving
16 + -5b = 23 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
16 + -5b + 6b = 23 + -6b + 6b

Combine like terms: -5b + 6b = 1b
16 + 1b = 23 + -6b + 6b

Combine like terms: -6b + 6b = 0
16 + 1b = 23 + 0
16 + 1b = 23

Add '-16' to each side of the equation.
16 + -16 + 1b = 23 + -16

Combine like terms: 16 + -16 = 0
0 + 1b = 23 + -16
1b = 23 + -16

Combine like terms: 23 + -16 = 7
1b = 7

Divide each side by '1'.
b = 7

Simplifying
b = 7

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