3(4g-8)=5g-(2g+6)

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Solution for 3(4g-8)=5g-(2g+6) equation:


Simplifying
3(4g + -8) = 5g + -1(2g + 6)

Reorder the terms:
3(-8 + 4g) = 5g + -1(2g + 6)
(-8 * 3 + 4g * 3) = 5g + -1(2g + 6)
(-24 + 12g) = 5g + -1(2g + 6)

Reorder the terms:
-24 + 12g = 5g + -1(6 + 2g)
-24 + 12g = 5g + (6 * -1 + 2g * -1)
-24 + 12g = 5g + (-6 + -2g)

Reorder the terms:
-24 + 12g = -6 + 5g + -2g

Combine like terms: 5g + -2g = 3g
-24 + 12g = -6 + 3g

Solving
-24 + 12g = -6 + 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.
-24 + 12g + -3g = -6 + 3g + -3g

Combine like terms: 12g + -3g = 9g
-24 + 9g = -6 + 3g + -3g

Combine like terms: 3g + -3g = 0
-24 + 9g = -6 + 0
-24 + 9g = -6

Add '24' to each side of the equation.
-24 + 24 + 9g = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 9g = -6 + 24
9g = -6 + 24

Combine like terms: -6 + 24 = 18
9g = 18

Divide each side by '9'.
g = 2

Simplifying
g = 2

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