-24+7b=-5(b-6)+6

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Solution for -24+7b=-5(b-6)+6 equation:


Simplifying
-24 + 7b = -5(b + -6) + 6

Reorder the terms:
-24 + 7b = -5(-6 + b) + 6
-24 + 7b = (-6 * -5 + b * -5) + 6
-24 + 7b = (30 + -5b) + 6

Reorder the terms:
-24 + 7b = 30 + 6 + -5b

Combine like terms: 30 + 6 = 36
-24 + 7b = 36 + -5b

Solving
-24 + 7b = 36 + -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.
-24 + 7b + 5b = 36 + -5b + 5b

Combine like terms: 7b + 5b = 12b
-24 + 12b = 36 + -5b + 5b

Combine like terms: -5b + 5b = 0
-24 + 12b = 36 + 0
-24 + 12b = 36

Add '24' to each side of the equation.
-24 + 24 + 12b = 36 + 24

Combine like terms: -24 + 24 = 0
0 + 12b = 36 + 24
12b = 36 + 24

Combine like terms: 36 + 24 = 60
12b = 60

Divide each side by '12'.
b = 5

Simplifying
b = 5

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