30+8b=2+5(5b-8)

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Solution for 30+8b=2+5(5b-8) equation: 


Simplifying
30 + 8b = 2 + 5(5b + -8)

Reorder the terms:
30 + 8b = 2 + 5(-8 + 5b)
30 + 8b = 2 + (-8 * 5 + 5b * 5)
30 + 8b = 2 + (-40 + 25b)

Combine like terms: 2 + -40 = -38
30 + 8b = -38 + 25b

Solving
30 + 8b = -38 + 25b

Solving for variable 'b'.

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

Add '-25b' to each side of the equation.
30 + 8b + -25b = -38 + 25b + -25b

Combine like terms: 8b + -25b = -17b
30 + -17b = -38 + 25b + -25b

Combine like terms: 25b + -25b = 0
30 + -17b = -38 + 0
30 + -17b = -38

Add '-30' to each side of the equation.
30 + -30 + -17b = -38 + -30

Combine like terms: 30 + -30 = 0
0 + -17b = -38 + -30
-17b = -38 + -30

Combine like terms: -38 + -30 = -68
-17b = -68

Divide each side by '-17'.
b = 4

Simplifying
b = 4

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