0.1b+(0.7)(400)=0.2(400+b)

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Solution for 0.1b+(0.7)(400)=0.2(400+b) equation: 


Simplifying
0.1b + (0.7)(400) = 0.2(400 + b)

Multiply 0.7 * 400
0.1b + 280 = 0.2(400 + b)

Reorder the terms:
280 + 0.1b = 0.2(400 + b)
280 + 0.1b = (400 * 0.2 + b * 0.2)
280 + 0.1b = (80 + 0.2b)

Solving
280 + 0.1b = 80 + 0.2b

Solving for variable 'b'.

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

Add '-0.2b' to each side of the equation.
280 + 0.1b + -0.2b = 80 + 0.2b + -0.2b

Combine like terms: 0.1b + -0.2b = -0.1b
280 + -0.1b = 80 + 0.2b + -0.2b

Combine like terms: 0.2b + -0.2b = 0.0
280 + -0.1b = 80 + 0.0
280 + -0.1b = 80

Add '-280' to each side of the equation.
280 + -280 + -0.1b = 80 + -280

Combine like terms: 280 + -280 = 0
0 + -0.1b = 80 + -280
-0.1b = 80 + -280

Combine like terms: 80 + -280 = -200
-0.1b = -200

Divide each side by '-0.1'.
b = 2000

Simplifying
b = 2000

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