6+2(5-3a)=6(2a-3)

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Solution for 6+2(5-3a)=6(2a-3) equation: 


Simplifying
6 + 2(5 + -3a) = 6(2a + -3)
6 + (5 * 2 + -3a * 2) = 6(2a + -3)
6 + (10 + -6a) = 6(2a + -3)

Combine like terms: 6 + 10 = 16
16 + -6a = 6(2a + -3)

Reorder the terms:
16 + -6a = 6(-3 + 2a)
16 + -6a = (-3 * 6 + 2a * 6)
16 + -6a = (-18 + 12a)

Solving
16 + -6a = -18 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
16 + -6a + -12a = -18 + 12a + -12a

Combine like terms: -6a + -12a = -18a
16 + -18a = -18 + 12a + -12a

Combine like terms: 12a + -12a = 0
16 + -18a = -18 + 0
16 + -18a = -18

Add '-16' to each side of the equation.
16 + -16 + -18a = -18 + -16

Combine like terms: 16 + -16 = 0
0 + -18a = -18 + -16
-18a = -18 + -16

Combine like terms: -18 + -16 = -34
-18a = -34

Divide each side by '-18'.
a = 1.888888889

Simplifying
a = 1.888888889

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