0.4(2-g)=0.2(g+7)

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Solution for 0.4(2-g)=0.2(g+7) equation: 


Simplifying
0.4(2 + -1g) = 0.2(g + 7)
(2 * 0.4 + -1g * 0.4) = 0.2(g + 7)
(0.8 + -0.4g) = 0.2(g + 7)

Reorder the terms:
0.8 + -0.4g = 0.2(7 + g)
0.8 + -0.4g = (7 * 0.2 + g * 0.2)
0.8 + -0.4g = (1.4 + 0.2g)

Solving
0.8 + -0.4g = 1.4 + 0.2g

Solving for variable 'g'.

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

Add '-0.2g' to each side of the equation.
0.8 + -0.4g + -0.2g = 1.4 + 0.2g + -0.2g

Combine like terms: -0.4g + -0.2g = -0.6g
0.8 + -0.6g = 1.4 + 0.2g + -0.2g

Combine like terms: 0.2g + -0.2g = 0.0
0.8 + -0.6g = 1.4 + 0.0
0.8 + -0.6g = 1.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.6g = 1.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.6g = 1.4 + -0.8
-0.6g = 1.4 + -0.8

Combine like terms: 1.4 + -0.8 = 0.6
-0.6g = 0.6

Divide each side by '-0.6'.
g = -1

Simplifying
g = -1

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