4g(g-3)-2g(g-2)=2(g^2+3)-6g-2

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Solution for 4g(g-3)-2g(g-2)=2(g^2+3)-6g-2 equation: 


Simplifying
4g(g + -3) + -2g(g + -2) = 2(g2 + 3) + -6g + -2

Reorder the terms:
4g(-3 + g) + -2g(g + -2) = 2(g2 + 3) + -6g + -2
(-3 * 4g + g * 4g) + -2g(g + -2) = 2(g2 + 3) + -6g + -2
(-12g + 4g2) + -2g(g + -2) = 2(g2 + 3) + -6g + -2

Reorder the terms:
-12g + 4g2 + -2g(-2 + g) = 2(g2 + 3) + -6g + -2
-12g + 4g2 + (-2 * -2g + g * -2g) = 2(g2 + 3) + -6g + -2
-12g + 4g2 + (4g + -2g2) = 2(g2 + 3) + -6g + -2

Reorder the terms:
-12g + 4g + 4g2 + -2g2 = 2(g2 + 3) + -6g + -2

Combine like terms: -12g + 4g = -8g
-8g + 4g2 + -2g2 = 2(g2 + 3) + -6g + -2

Combine like terms: 4g2 + -2g2 = 2g2
-8g + 2g2 = 2(g2 + 3) + -6g + -2

Reorder the terms:
-8g + 2g2 = 2(3 + g2) + -6g + -2
-8g + 2g2 = (3 * 2 + g2 * 2) + -6g + -2
-8g + 2g2 = (6 + 2g2) + -6g + -2

Reorder the terms:
-8g + 2g2 = 6 + -2 + -6g + 2g2

Combine like terms: 6 + -2 = 4
-8g + 2g2 = 4 + -6g + 2g2

Add '-2g2' to each side of the equation.
-8g + 2g2 + -2g2 = 4 + -6g + 2g2 + -2g2

Combine like terms: 2g2 + -2g2 = 0
-8g + 0 = 4 + -6g + 2g2 + -2g2
-8g = 4 + -6g + 2g2 + -2g2

Combine like terms: 2g2 + -2g2 = 0
-8g = 4 + -6g + 0
-8g = 4 + -6g

Solving
-8g = 4 + -6g

Solving for variable 'g'.

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

Add '6g' to each side of the equation.
-8g + 6g = 4 + -6g + 6g

Combine like terms: -8g + 6g = -2g
-2g = 4 + -6g + 6g

Combine like terms: -6g + 6g = 0
-2g = 4 + 0
-2g = 4

Divide each side by '-2'.
g = -2

Simplifying
g = -2

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