5g+4(-5+3g)=7-g

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Solution for 5g+4(-5+3g)=7-g equation:


Simplifying
5g + 4(-5 + 3g) = 7 + -1g
5g + (-5 * 4 + 3g * 4) = 7 + -1g
5g + (-20 + 12g) = 7 + -1g

Reorder the terms:
-20 + 5g + 12g = 7 + -1g

Combine like terms: 5g + 12g = 17g
-20 + 17g = 7 + -1g

Solving
-20 + 17g = 7 + -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 + 17g + g = 7 + -1g + g

Combine like terms: 17g + g = 18g
-20 + 18g = 7 + -1g + g

Combine like terms: -1g + g = 0
-20 + 18g = 7 + 0
-20 + 18g = 7

Add '20' to each side of the equation.
-20 + 20 + 18g = 7 + 20

Combine like terms: -20 + 20 = 0
0 + 18g = 7 + 20
18g = 7 + 20

Combine like terms: 7 + 20 = 27
18g = 27

Divide each side by '18'.
g = 1.5

Simplifying
g = 1.5

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