.8-4(b-1)=.2+3(4-b)

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Solution for .8-4(b-1)=.2+3(4-b) equation: 


Simplifying
0.8 + -4(b + -1) = 0.2 + 3(4 + -1b)

Reorder the terms:
0.8 + -4(-1 + b) = 0.2 + 3(4 + -1b)
0.8 + (-1 * -4 + b * -4) = 0.2 + 3(4 + -1b)
0.8 + (4 + -4b) = 0.2 + 3(4 + -1b)

Combine like terms: 0.8 + 4 = 4.8
4.8 + -4b = 0.2 + 3(4 + -1b)
4.8 + -4b = 0.2 + (4 * 3 + -1b * 3)
4.8 + -4b = 0.2 + (12 + -3b)

Combine like terms: 0.2 + 12 = 12.2
4.8 + -4b = 12.2 + -3b

Solving
4.8 + -4b = 12.2 + -3b

Solving for variable 'b'.

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

Add '3b' to each side of the equation.
4.8 + -4b + 3b = 12.2 + -3b + 3b

Combine like terms: -4b + 3b = -1b
4.8 + -1b = 12.2 + -3b + 3b

Combine like terms: -3b + 3b = 0
4.8 + -1b = 12.2 + 0
4.8 + -1b = 12.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -1b = 12.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -1b = 12.2 + -4.8
-1b = 12.2 + -4.8

Combine like terms: 12.2 + -4.8 = 7.4
-1b = 7.4

Divide each side by '-1'.
b = -7.4

Simplifying
b = -7.4

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