4(g+3)+3(4-g)=9(g-4)

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Solution for 4(g+3)+3(4-g)=9(g-4) equation:


Simplifying
4(g + 3) + 3(4 + -1g) = 9(g + -4)

Reorder the terms:
4(3 + g) + 3(4 + -1g) = 9(g + -4)
(3 * 4 + g * 4) + 3(4 + -1g) = 9(g + -4)
(12 + 4g) + 3(4 + -1g) = 9(g + -4)
12 + 4g + (4 * 3 + -1g * 3) = 9(g + -4)
12 + 4g + (12 + -3g) = 9(g + -4)

Reorder the terms:
12 + 12 + 4g + -3g = 9(g + -4)

Combine like terms: 12 + 12 = 24
24 + 4g + -3g = 9(g + -4)

Combine like terms: 4g + -3g = 1g
24 + 1g = 9(g + -4)

Reorder the terms:
24 + 1g = 9(-4 + g)
24 + 1g = (-4 * 9 + g * 9)
24 + 1g = (-36 + 9g)

Solving
24 + 1g = -36 + 9g

Solving for variable 'g'.

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

Add '-9g' to each side of the equation.
24 + 1g + -9g = -36 + 9g + -9g

Combine like terms: 1g + -9g = -8g
24 + -8g = -36 + 9g + -9g

Combine like terms: 9g + -9g = 0
24 + -8g = -36 + 0
24 + -8g = -36

Add '-24' to each side of the equation.
24 + -24 + -8g = -36 + -24

Combine like terms: 24 + -24 = 0
0 + -8g = -36 + -24
-8g = -36 + -24

Combine like terms: -36 + -24 = -60
-8g = -60

Divide each side by '-8'.
g = 7.5

Simplifying
g = 7.5

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