-.04(5b-8)=.08(10b-1)

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Solution for -.04(5b-8)=.08(10b-1) equation: 


Simplifying
-0.04(5b + -8) = 0.08(10b + -1)

Reorder the terms:
-0.04(-8 + 5b) = 0.08(10b + -1)
(-8 * -0.04 + 5b * -0.04) = 0.08(10b + -1)
(0.32 + -0.2b) = 0.08(10b + -1)

Reorder the terms:
0.32 + -0.2b = 0.08(-1 + 10b)
0.32 + -0.2b = (-1 * 0.08 + 10b * 0.08)
0.32 + -0.2b = (-0.08 + 0.8b)

Solving
0.32 + -0.2b = -0.08 + 0.8b

Solving for variable 'b'.

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

Add '-0.8b' to each side of the equation.
0.32 + -0.2b + -0.8b = -0.08 + 0.8b + -0.8b

Combine like terms: -0.2b + -0.8b = -1b
0.32 + -1b = -0.08 + 0.8b + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0
0.32 + -1b = -0.08 + 0.0
0.32 + -1b = -0.08

Add '-0.32' to each side of the equation.
0.32 + -0.32 + -1b = -0.08 + -0.32

Combine like terms: 0.32 + -0.32 = 0.00
0.00 + -1b = -0.08 + -0.32
-1b = -0.08 + -0.32

Combine like terms: -0.08 + -0.32 = -0.4
-1b = -0.4

Divide each side by '-1'.
b = 0.4

Simplifying
b = 0.4

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