-2(6a-1)=-1.66666666667(3a+15)+6

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Solution for -2(6a-1)=-1.66666666667(3a+15)+6 equation: 


Simplifying
-2(6a + -1) = -1.66666666667(3a + 15) + 6

Reorder the terms:
-2(-1 + 6a) = -1.66666666667(3a + 15) + 6
(-1 * -2 + 6a * -2) = -1.66666666667(3a + 15) + 6
(2 + -12a) = -1.66666666667(3a + 15) + 6

Reorder the terms:
2 + -12a = -1.66666666667(15 + 3a) + 6
2 + -12a = (15 * -1.66666666667 + 3a * -1.66666666667) + 6
2 + -12a = (-25 + -5a) + 6

Reorder the terms:
2 + -12a = -25 + 6 + -5a

Combine like terms: -25 + 6 = -19
2 + -12a = -19 + -5a

Solving
2 + -12a = -19 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
2 + -12a + 5a = -19 + -5a + 5a

Combine like terms: -12a + 5a = -7a
2 + -7a = -19 + -5a + 5a

Combine like terms: -5a + 5a = 0
2 + -7a = -19 + 0
2 + -7a = -19

Add '-2' to each side of the equation.
2 + -2 + -7a = -19 + -2

Combine like terms: 2 + -2 = 0
0 + -7a = -19 + -2
-7a = -19 + -2

Combine like terms: -19 + -2 = -21
-7a = -21

Divide each side by '-7'.
a = 3

Simplifying
a = 3

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