4(.345b-.05)=2(4.35-.20b)

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Solution for 4(.345b-.05)=2(4.35-.20b) equation: 


Simplifying
4(0.345b + -0.05) = 2(4.35 + -0.20b)

Reorder the terms:
4(-0.05 + 0.345b) = 2(4.35 + -0.20b)
(-0.05 * 4 + 0.345b * 4) = 2(4.35 + -0.20b)
(-0.2 + 1.38b) = 2(4.35 + -0.20b)
-0.2 + 1.38b = (4.35 * 2 + -0.20b * 2)
-0.2 + 1.38b = (8.7 + -0.4b)

Solving
-0.2 + 1.38b = 8.7 + -0.4b

Solving for variable 'b'.

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

Add '0.4b' to each side of the equation.
-0.2 + 1.38b + 0.4b = 8.7 + -0.4b + 0.4b

Combine like terms: 1.38b + 0.4b = 1.78b
-0.2 + 1.78b = 8.7 + -0.4b + 0.4b

Combine like terms: -0.4b + 0.4b = 0.0
-0.2 + 1.78b = 8.7 + 0.0
-0.2 + 1.78b = 8.7

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 1.78b = 8.7 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1.78b = 8.7 + 0.2
1.78b = 8.7 + 0.2

Combine like terms: 8.7 + 0.2 = 8.9
1.78b = 8.9

Divide each side by '1.78'.
b = 5

Simplifying
b = 5

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