0.222(4a-2)=0.5(a-20)

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Solution for 0.222(4a-2)=0.5(a-20) equation: 


Simplifying
0.222(4a + -2) = 0.5(a + -20)

Reorder the terms:
0.222(-2 + 4a) = 0.5(a + -20)
(-2 * 0.222 + 4a * 0.222) = 0.5(a + -20)
(-0.444 + 0.888a) = 0.5(a + -20)

Reorder the terms:
-0.444 + 0.888a = 0.5(-20 + a)
-0.444 + 0.888a = (-20 * 0.5 + a * 0.5)
-0.444 + 0.888a = (-10 + 0.5a)

Solving
-0.444 + 0.888a = -10 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
-0.444 + 0.888a + -0.5a = -10 + 0.5a + -0.5a

Combine like terms: 0.888a + -0.5a = 0.388a
-0.444 + 0.388a = -10 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
-0.444 + 0.388a = -10 + 0.0
-0.444 + 0.388a = -10

Add '0.444' to each side of the equation.
-0.444 + 0.444 + 0.388a = -10 + 0.444

Combine like terms: -0.444 + 0.444 = 0.000
0.000 + 0.388a = -10 + 0.444
0.388a = -10 + 0.444

Combine like terms: -10 + 0.444 = -9.556
0.388a = -9.556

Divide each side by '0.388'.
a = -24.62886598

Simplifying
a = -24.62886598

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