0.4(3.2b+2)-b=2b+1.8

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Solution for 0.4(3.2b+2)-b=2b+1.8 equation: 


Simplifying
0.4(3.2b + 2) + -1b = 2b + 1.8

Reorder the terms:
0.4(2 + 3.2b) + -1b = 2b + 1.8
(2 * 0.4 + 3.2b * 0.4) + -1b = 2b + 1.8
(0.8 + 1.28b) + -1b = 2b + 1.8

Combine like terms: 1.28b + -1b = 0.28b
0.8 + 0.28b = 2b + 1.8

Reorder the terms:
0.8 + 0.28b = 1.8 + 2b

Solving
0.8 + 0.28b = 1.8 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
0.8 + 0.28b + -2b = 1.8 + 2b + -2b

Combine like terms: 0.28b + -2b = -1.72b
0.8 + -1.72b = 1.8 + 2b + -2b

Combine like terms: 2b + -2b = 0
0.8 + -1.72b = 1.8 + 0
0.8 + -1.72b = 1.8

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -1.72b = 1.8 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.72b = 1.8 + -0.8
-1.72b = 1.8 + -0.8

Combine like terms: 1.8 + -0.8 = 1
-1.72b = 1

Divide each side by '-1.72'.
b = -0.5813953488

Simplifying
b = -0.5813953488

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