(6g-9)+0.33(15-9g)=0

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Solution for (6g-9)+0.33(15-9g)=0 equation: 


Simplifying
(6g + -9) + 0.33(15 + -9g) = 0

Reorder the terms:
(-9 + 6g) + 0.33(15 + -9g) = 0

Remove parenthesis around (-9 + 6g)
-9 + 6g + 0.33(15 + -9g) = 0
-9 + 6g + (15 * 0.33 + -9g * 0.33) = 0
-9 + 6g + (4.95 + -2.97g) = 0

Reorder the terms:
-9 + 4.95 + 6g + -2.97g = 0

Combine like terms: -9 + 4.95 = -4.05
-4.05 + 6g + -2.97g = 0

Combine like terms: 6g + -2.97g = 3.03g
-4.05 + 3.03g = 0

Solving
-4.05 + 3.03g = 0

Solving for variable 'g'.

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

Add '4.05' to each side of the equation.
-4.05 + 4.05 + 3.03g = 0 + 4.05

Combine like terms: -4.05 + 4.05 = 0.00
0.00 + 3.03g = 0 + 4.05
3.03g = 0 + 4.05

Combine like terms: 0 + 4.05 = 4.05
3.03g = 4.05

Divide each side by '3.03'.
g = 1.336633663

Simplifying
g = 1.336633663

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