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

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Solution for 0.04(5b-8)=0.08(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 = -0.6b
-0.32 + -0.6b = -0.08 + 0.8b + -0.8b

Combine like terms: 0.8b + -0.8b = 0.0
-0.32 + -0.6b = -0.08 + 0.0
-0.32 + -0.6b = -0.08

Add '0.32' to each side of the equation.
-0.32 + 0.32 + -0.6b = -0.08 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + -0.6b = -0.08 + 0.32
-0.6b = -0.08 + 0.32

Combine like terms: -0.08 + 0.32 = 0.24
-0.6b = 0.24

Divide each side by '-0.6'.
b = -0.4

Simplifying
b = -0.4

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