10-.6(a-4)=.2(8a-4)

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Solution for 10-.6(a-4)=.2(8a-4) equation: 


Simplifying
10 + -0.6(a + -4) = 0.2(8a + -4)

Reorder the terms:
10 + -0.6(-4 + a) = 0.2(8a + -4)
10 + (-4 * -0.6 + a * -0.6) = 0.2(8a + -4)
10 + (2.4 + -0.6a) = 0.2(8a + -4)

Combine like terms: 10 + 2.4 = 12.4
12.4 + -0.6a = 0.2(8a + -4)

Reorder the terms:
12.4 + -0.6a = 0.2(-4 + 8a)
12.4 + -0.6a = (-4 * 0.2 + 8a * 0.2)
12.4 + -0.6a = (-0.8 + 1.6a)

Solving
12.4 + -0.6a = -0.8 + 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.
12.4 + -0.6a + -1.6a = -0.8 + 1.6a + -1.6a

Combine like terms: -0.6a + -1.6a = -2.2a
12.4 + -2.2a = -0.8 + 1.6a + -1.6a

Combine like terms: 1.6a + -1.6a = 0.0
12.4 + -2.2a = -0.8 + 0.0
12.4 + -2.2a = -0.8

Add '-12.4' to each side of the equation.
12.4 + -12.4 + -2.2a = -0.8 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + -2.2a = -0.8 + -12.4
-2.2a = -0.8 + -12.4

Combine like terms: -0.8 + -12.4 = -13.2
-2.2a = -13.2

Divide each side by '-2.2'.
a = 6

Simplifying
a = 6

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