2(2b+4)=10(3b-20)

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Solution for 2(2b+4)=10(3b-20) equation: 


Simplifying
2(2b + 4) = 10(3b + -20)

Reorder the terms:
2(4 + 2b) = 10(3b + -20)
(4 * 2 + 2b * 2) = 10(3b + -20)
(8 + 4b) = 10(3b + -20)

Reorder the terms:
8 + 4b = 10(-20 + 3b)
8 + 4b = (-20 * 10 + 3b * 10)
8 + 4b = (-200 + 30b)

Solving
8 + 4b = -200 + 30b

Solving for variable 'b'.

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

Add '-30b' to each side of the equation.
8 + 4b + -30b = -200 + 30b + -30b

Combine like terms: 4b + -30b = -26b
8 + -26b = -200 + 30b + -30b

Combine like terms: 30b + -30b = 0
8 + -26b = -200 + 0
8 + -26b = -200

Add '-8' to each side of the equation.
8 + -8 + -26b = -200 + -8

Combine like terms: 8 + -8 = 0
0 + -26b = -200 + -8
-26b = -200 + -8

Combine like terms: -200 + -8 = -208
-26b = -208

Divide each side by '-26'.
b = 8

Simplifying
b = 8

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