2(24-g)=3(2g-8)

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Solution for 2(24-g)=3(2g-8) equation:


Simplifying
2(24 + -1g) = 3(2g + -8)
(24 * 2 + -1g * 2) = 3(2g + -8)
(48 + -2g) = 3(2g + -8)

Reorder the terms:
48 + -2g = 3(-8 + 2g)
48 + -2g = (-8 * 3 + 2g * 3)
48 + -2g = (-24 + 6g)

Solving
48 + -2g = -24 + 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.
48 + -2g + -6g = -24 + 6g + -6g

Combine like terms: -2g + -6g = -8g
48 + -8g = -24 + 6g + -6g

Combine like terms: 6g + -6g = 0
48 + -8g = -24 + 0
48 + -8g = -24

Add '-48' to each side of the equation.
48 + -48 + -8g = -24 + -48

Combine like terms: 48 + -48 = 0
0 + -8g = -24 + -48
-8g = -24 + -48

Combine like terms: -24 + -48 = -72
-8g = -72

Divide each side by '-8'.
g = 9

Simplifying
g = 9

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