0.2(g-4)=0.6(g-8)

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Solution for 0.2(g-4)=0.6(g-8) equation: 


Simplifying
0.2(g + -4) = 0.6(g + -8)

Reorder the terms:
0.2(-4 + g) = 0.6(g + -8)
(-4 * 0.2 + g * 0.2) = 0.6(g + -8)
(-0.8 + 0.2g) = 0.6(g + -8)

Reorder the terms:
-0.8 + 0.2g = 0.6(-8 + g)
-0.8 + 0.2g = (-8 * 0.6 + g * 0.6)
-0.8 + 0.2g = (-4.8 + 0.6g)

Solving
-0.8 + 0.2g = -4.8 + 0.6g

Solving for variable 'g'.

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

Add '-0.6g' to each side of the equation.
-0.8 + 0.2g + -0.6g = -4.8 + 0.6g + -0.6g

Combine like terms: 0.2g + -0.6g = -0.4g
-0.8 + -0.4g = -4.8 + 0.6g + -0.6g

Combine like terms: 0.6g + -0.6g = 0.0
-0.8 + -0.4g = -4.8 + 0.0
-0.8 + -0.4g = -4.8

Add '0.8' to each side of the equation.
-0.8 + 0.8 + -0.4g = -4.8 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + -0.4g = -4.8 + 0.8
-0.4g = -4.8 + 0.8

Combine like terms: -4.8 + 0.8 = -4
-0.4g = -4

Divide each side by '-0.4'.
g = 10

Simplifying
g = 10

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