2(a+0.2)=1.6(a-4)

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Solution for 2(a+0.2)=1.6(a-4) equation: 


Simplifying
2(a + 0.2) = 1.6(a + -4)

Reorder the terms:
2(0.2 + a) = 1.6(a + -4)
(0.2 * 2 + a * 2) = 1.6(a + -4)
(0.4 + 2a) = 1.6(a + -4)

Reorder the terms:
0.4 + 2a = 1.6(-4 + a)
0.4 + 2a = (-4 * 1.6 + a * 1.6)
0.4 + 2a = (-6.4 + 1.6a)

Solving
0.4 + 2a = -6.4 + 1.6a

Solving for variable 'a'.

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

Add '-1.6a' to each side of the equation.
0.4 + 2a + -1.6a = -6.4 + 1.6a + -1.6a

Combine like terms: 2a + -1.6a = 0.4a
0.4 + 0.4a = -6.4 + 1.6a + -1.6a

Combine like terms: 1.6a + -1.6a = 0.0
0.4 + 0.4a = -6.4 + 0.0
0.4 + 0.4a = -6.4

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.4a = -6.4 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.4a = -6.4 + -0.4
0.4a = -6.4 + -0.4

Combine like terms: -6.4 + -0.4 = -6.8
0.4a = -6.8

Divide each side by '0.4'.
a = -17

Simplifying
a = -17

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