5g+4(5+3g)=2-g

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Solution for 5g+4(5+3g)=2-g equation:


Simplifying
5g + 4(5 + 3g) = 2 + -1g
5g + (5 * 4 + 3g * 4) = 2 + -1g
5g + (20 + 12g) = 2 + -1g

Reorder the terms:
20 + 5g + 12g = 2 + -1g

Combine like terms: 5g + 12g = 17g
20 + 17g = 2 + -1g

Solving
20 + 17g = 2 + -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 = 2 + -1g + g

Combine like terms: 17g + g = 18g
20 + 18g = 2 + -1g + g

Combine like terms: -1g + g = 0
20 + 18g = 2 + 0
20 + 18g = 2

Add '-20' to each side of the equation.
20 + -20 + 18g = 2 + -20

Combine like terms: 20 + -20 = 0
0 + 18g = 2 + -20
18g = 2 + -20

Combine like terms: 2 + -20 = -18
18g = -18

Divide each side by '18'.
g = -1

Simplifying
g = -1

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