17-0.3(g-3)=0.1(2g-3)

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Solution for 17-0.3(g-3)=0.1(2g-3) equation: 


Simplifying
17 + -0.3(g + -3) = 0.1(2g + -3)

Reorder the terms:
17 + -0.3(-3 + g) = 0.1(2g + -3)
17 + (-3 * -0.3 + g * -0.3) = 0.1(2g + -3)
17 + (0.9 + -0.3g) = 0.1(2g + -3)

Combine like terms: 17 + 0.9 = 17.9
17.9 + -0.3g = 0.1(2g + -3)

Reorder the terms:
17.9 + -0.3g = 0.1(-3 + 2g)
17.9 + -0.3g = (-3 * 0.1 + 2g * 0.1)
17.9 + -0.3g = (-0.3 + 0.2g)

Solving
17.9 + -0.3g = -0.3 + 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.
17.9 + -0.3g + -0.2g = -0.3 + 0.2g + -0.2g

Combine like terms: -0.3g + -0.2g = -0.5g
17.9 + -0.5g = -0.3 + 0.2g + -0.2g

Combine like terms: 0.2g + -0.2g = 0.0
17.9 + -0.5g = -0.3 + 0.0
17.9 + -0.5g = -0.3

Add '-17.9' to each side of the equation.
17.9 + -17.9 + -0.5g = -0.3 + -17.9

Combine like terms: 17.9 + -17.9 = 0.0
0.0 + -0.5g = -0.3 + -17.9
-0.5g = -0.3 + -17.9

Combine like terms: -0.3 + -17.9 = -18.2
-0.5g = -18.2

Divide each side by '-0.5'.
g = 36.4

Simplifying
g = 36.4

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