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

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


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

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

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

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

Reorder the terms:
-8 + 2g = 3(-3 + g)
-8 + 2g = (-3 * 3 + g * 3)
-8 + 2g = (-9 + 3g)

Solving
-8 + 2g = -9 + 3g

Solving for variable 'g'.

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

Add '-3g' to each side of the equation.
-8 + 2g + -3g = -9 + 3g + -3g

Combine like terms: 2g + -3g = -1g
-8 + -1g = -9 + 3g + -3g

Combine like terms: 3g + -3g = 0
-8 + -1g = -9 + 0
-8 + -1g = -9

Add '8' to each side of the equation.
-8 + 8 + -1g = -9 + 8

Combine like terms: -8 + 8 = 0
0 + -1g = -9 + 8
-1g = -9 + 8

Combine like terms: -9 + 8 = -1
-1g = -1

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

Simplifying
g = 1

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