.3(g-6)=.7(g-4)

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Solution for .3(g-6)=.7(g-4) equation: 


Simplifying
0.3(g + -6) = 0.7(g + -4)

Reorder the terms:
0.3(-6 + g) = 0.7(g + -4)
(-6 * 0.3 + g * 0.3) = 0.7(g + -4)
(-1.8 + 0.3g) = 0.7(g + -4)

Reorder the terms:
-1.8 + 0.3g = 0.7(-4 + g)
-1.8 + 0.3g = (-4 * 0.7 + g * 0.7)
-1.8 + 0.3g = (-2.8 + 0.7g)

Solving
-1.8 + 0.3g = -2.8 + 0.7g

Solving for variable 'g'.

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

Add '-0.7g' to each side of the equation.
-1.8 + 0.3g + -0.7g = -2.8 + 0.7g + -0.7g

Combine like terms: 0.3g + -0.7g = -0.4g
-1.8 + -0.4g = -2.8 + 0.7g + -0.7g

Combine like terms: 0.7g + -0.7g = 0.0
-1.8 + -0.4g = -2.8 + 0.0
-1.8 + -0.4g = -2.8

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -0.4g = -2.8 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -0.4g = -2.8 + 1.8
-0.4g = -2.8 + 1.8

Combine like terms: -2.8 + 1.8 = -1
-0.4g = -1

Divide each side by '-0.4'.
g = 2.5

Simplifying
g = 2.5

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