2(7-2g)=3(4-g)

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Solution for 2(7-2g)=3(4-g) equation: 


Simplifying
2(7 + -2g) = 3(4 + -1g)
(7 * 2 + -2g * 2) = 3(4 + -1g)
(14 + -4g) = 3(4 + -1g)
14 + -4g = (4 * 3 + -1g * 3)
14 + -4g = (12 + -3g)

Solving
14 + -4g = 12 + -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.
14 + -4g + 3g = 12 + -3g + 3g

Combine like terms: -4g + 3g = -1g
14 + -1g = 12 + -3g + 3g

Combine like terms: -3g + 3g = 0
14 + -1g = 12 + 0
14 + -1g = 12

Add '-14' to each side of the equation.
14 + -14 + -1g = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -1g = 12 + -14
-1g = 12 + -14

Combine like terms: 12 + -14 = -2
-1g = -2

Divide each side by '-1'.
g = 2

Simplifying
g = 2

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