0.3(6a-4)=-0.10(2a-8)

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Solution for 0.3(6a-4)=-0.10(2a-8) equation: 


Simplifying
0.3(6a + -4) = -0.10(2a + -8)

Reorder the terms:
0.3(-4 + 6a) = -0.10(2a + -8)
(-4 * 0.3 + 6a * 0.3) = -0.10(2a + -8)
(-1.2 + 1.8a) = -0.10(2a + -8)

Reorder the terms:
-1.2 + 1.8a = -0.10(-8 + 2a)
-1.2 + 1.8a = (-8 * -0.10 + 2a * -0.10)
-1.2 + 1.8a = (0.8 + -0.2a)

Solving
-1.2 + 1.8a = 0.8 + -0.2a

Solving for variable 'a'.

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

Add '0.2a' to each side of the equation.
-1.2 + 1.8a + 0.2a = 0.8 + -0.2a + 0.2a

Combine like terms: 1.8a + 0.2a = 2a
-1.2 + 2a = 0.8 + -0.2a + 0.2a

Combine like terms: -0.2a + 0.2a = 0.0
-1.2 + 2a = 0.8 + 0.0
-1.2 + 2a = 0.8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 2a = 0.8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 2a = 0.8 + 1.2
2a = 0.8 + 1.2

Combine like terms: 0.8 + 1.2 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1

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