.2(g-9)=.9(g-5)

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Solution for .2(g-9)=.9(g-5) equation: 


Simplifying
0.2(g + -9) = 0.9(g + -5)

Reorder the terms:
0.2(-9 + g) = 0.9(g + -5)
(-9 * 0.2 + g * 0.2) = 0.9(g + -5)
(-1.8 + 0.2g) = 0.9(g + -5)

Reorder the terms:
-1.8 + 0.2g = 0.9(-5 + g)
-1.8 + 0.2g = (-5 * 0.9 + g * 0.9)
-1.8 + 0.2g = (-4.5 + 0.9g)

Solving
-1.8 + 0.2g = -4.5 + 0.9g

Solving for variable 'g'.

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

Add '-0.9g' to each side of the equation.
-1.8 + 0.2g + -0.9g = -4.5 + 0.9g + -0.9g

Combine like terms: 0.2g + -0.9g = -0.7g
-1.8 + -0.7g = -4.5 + 0.9g + -0.9g

Combine like terms: 0.9g + -0.9g = 0.0
-1.8 + -0.7g = -4.5 + 0.0
-1.8 + -0.7g = -4.5

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -0.7g = -4.5 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -0.7g = -4.5 + 1.8
-0.7g = -4.5 + 1.8

Combine like terms: -4.5 + 1.8 = -2.7
-0.7g = -2.7

Divide each side by '-0.7'.
g = 3.857142857

Simplifying
g = 3.857142857

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