1.5(12-4a)=.3333(3-9a)

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Solution for 1.5(12-4a)=.3333(3-9a) equation: 


Simplifying
1.5(12 + -4a) = 0.3333(3 + -9a)
(12 * 1.5 + -4a * 1.5) = 0.3333(3 + -9a)
(18 + -6a) = 0.3333(3 + -9a)
18 + -6a = (3 * 0.3333 + -9a * 0.3333)
18 + -6a = (0.9999 + -2.9997a)

Solving
18 + -6a = 0.9999 + -2.9997a

Solving for variable 'a'.

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

Add '2.9997a' to each side of the equation.
18 + -6a + 2.9997a = 0.9999 + -2.9997a + 2.9997a

Combine like terms: -6a + 2.9997a = -3.0003a
18 + -3.0003a = 0.9999 + -2.9997a + 2.9997a

Combine like terms: -2.9997a + 2.9997a = 0.0000
18 + -3.0003a = 0.9999 + 0.0000
18 + -3.0003a = 0.9999

Add '-18' to each side of the equation.
18 + -18 + -3.0003a = 0.9999 + -18

Combine like terms: 18 + -18 = 0
0 + -3.0003a = 0.9999 + -18
-3.0003a = 0.9999 + -18

Combine like terms: 0.9999 + -18 = -17.0001
-3.0003a = -17.0001

Divide each side by '-3.0003'.
a = 5.666133387

Simplifying
a = 5.666133387

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