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

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


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

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

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

Solving for variable 'g'.

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

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

Combine like terms: 5g + g = 6g
-20 + 6g + 12r = 1 + -1g + g

Combine like terms: -1g + g = 0
-20 + 6g + 12r = 1 + 0
-20 + 6g + 12r = 1

Add '20' to each side of the equation.
-20 + 6g + 20 + 12r = 1 + 20

Reorder the terms:
-20 + 20 + 6g + 12r = 1 + 20

Combine like terms: -20 + 20 = 0
0 + 6g + 12r = 1 + 20
6g + 12r = 1 + 20

Combine like terms: 1 + 20 = 21
6g + 12r = 21

Add '-12r' to each side of the equation.
6g + 12r + -12r = 21 + -12r

Combine like terms: 12r + -12r = 0
6g + 0 = 21 + -12r
6g = 21 + -12r

Divide each side by '6'.
g = 3.5 + -2r

Simplifying
g = 3.5 + -2r

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