5g+4(-5+3GS)=1-g

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Solution for 5g+4(-5+3GS)=1-g equation: 


Simplifying
5g + 4(-5 + 3GS) = 1 + -1g
5g + (-5 * 4 + 3GS * 4) = 1 + -1g
5g + (-20 + 12GS) = 1 + -1g

Reorder the terms:
-20 + 12GS + 5g = 1 + -1g

Solving
-20 + 12GS + 5g = 1 + -1g

Solving for variable 'G'.

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

Add '20' to each side of the equation.
-20 + 12GS + 20 + 5g = 1 + 20 + -1g

Reorder the terms:
-20 + 20 + 12GS + 5g = 1 + 20 + -1g

Combine like terms: -20 + 20 = 0
0 + 12GS + 5g = 1 + 20 + -1g
12GS + 5g = 1 + 20 + -1g

Combine like terms: 1 + 20 = 21
12GS + 5g = 21 + -1g

Add '-5g' to each side of the equation.
12GS + 5g + -5g = 21 + -1g + -5g

Combine like terms: 5g + -5g = 0
12GS + 0 = 21 + -1g + -5g
12GS = 21 + -1g + -5g

Combine like terms: -1g + -5g = -6g
12GS = 21 + -6g

Divide each side by '12S'.
G = 1.75S-1 + -0.5gS-1

Simplifying
G = 1.75S-1 + -0.5gS-1

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