6(6a-4)-[3(3a-2)+2]=

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Solution for 6(6a-4)-[3(3a-2)+2]= equation:


Simplifying
6(6a + -4) + -1[3(3a + -2) + 2] = 0

Reorder the terms:
6(-4 + 6a) + -1[3(3a + -2) + 2] = 0
(-4 * 6 + 6a * 6) + -1[3(3a + -2) + 2] = 0
(-24 + 36a) + -1[3(3a + -2) + 2] = 0

Reorder the terms:
-24 + 36a + -1[3(-2 + 3a) + 2] = 0
-24 + 36a + -1[(-2 * 3 + 3a * 3) + 2] = 0
-24 + 36a + -1[(-6 + 9a) + 2] = 0

Reorder the terms:
-24 + 36a + -1[-6 + 2 + 9a] = 0

Combine like terms: -6 + 2 = -4
-24 + 36a + -1[-4 + 9a] = 0
-24 + 36a + [-4 * -1 + 9a * -1] = 0
-24 + 36a + [4 + -9a] = 0

Reorder the terms:
-24 + 4 + 36a + -9a = 0

Combine like terms: -24 + 4 = -20
-20 + 36a + -9a = 0

Combine like terms: 36a + -9a = 27a
-20 + 27a = 0

Solving
-20 + 27a = 0

Solving for variable 'a'.

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

Add '20' to each side of the equation.
-20 + 20 + 27a = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 27a = 0 + 20
27a = 0 + 20

Combine like terms: 0 + 20 = 20
27a = 20

Divide each side by '27'.
a = 0.7407407407

Simplifying
a = 0.7407407407

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