0.5(g-9)=0.7(g-4)

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Solution for 0.5(g-9)=0.7(g-4) equation: 


Simplifying
0.5(g + -9) = 0.7(g + -4)

Reorder the terms:
0.5(-9 + g) = 0.7(g + -4)
(-9 * 0.5 + g * 0.5) = 0.7(g + -4)
(-4.5 + 0.5g) = 0.7(g + -4)

Reorder the terms:
-4.5 + 0.5g = 0.7(-4 + g)
-4.5 + 0.5g = (-4 * 0.7 + g * 0.7)
-4.5 + 0.5g = (-2.8 + 0.7g)

Solving
-4.5 + 0.5g = -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.
-4.5 + 0.5g + -0.7g = -2.8 + 0.7g + -0.7g

Combine like terms: 0.5g + -0.7g = -0.2g
-4.5 + -0.2g = -2.8 + 0.7g + -0.7g

Combine like terms: 0.7g + -0.7g = 0.0
-4.5 + -0.2g = -2.8 + 0.0
-4.5 + -0.2g = -2.8

Add '4.5' to each side of the equation.
-4.5 + 4.5 + -0.2g = -2.8 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -0.2g = -2.8 + 4.5
-0.2g = -2.8 + 4.5

Combine like terms: -2.8 + 4.5 = 1.7
-0.2g = 1.7

Divide each side by '-0.2'.
g = -8.5

Simplifying
g = -8.5

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