0.333(9a+27)=-3a+6a+2

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Solution for 0.333(9a+27)=-3a+6a+2 equation: 


Simplifying
0.333(9a + 27) = -3a + 6a + 2

Reorder the terms:
0.333(27 + 9a) = -3a + 6a + 2
(27 * 0.333 + 9a * 0.333) = -3a + 6a + 2
(8.991 + 2.997a) = -3a + 6a + 2

Reorder the terms:
8.991 + 2.997a = 2 + -3a + 6a

Combine like terms: -3a + 6a = 3a
8.991 + 2.997a = 2 + 3a

Solving
8.991 + 2.997a = 2 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
8.991 + 2.997a + -3a = 2 + 3a + -3a

Combine like terms: 2.997a + -3a = -0.003a
8.991 + -0.003a = 2 + 3a + -3a

Combine like terms: 3a + -3a = 0
8.991 + -0.003a = 2 + 0
8.991 + -0.003a = 2

Add '-8.991' to each side of the equation.
8.991 + -8.991 + -0.003a = 2 + -8.991

Combine like terms: 8.991 + -8.991 = 0.000
0.000 + -0.003a = 2 + -8.991
-0.003a = 2 + -8.991

Combine like terms: 2 + -8.991 = -6.991
-0.003a = -6.991

Divide each side by '-0.003'.
a = 2330.333333

Simplifying
a = 2330.333333

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