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

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Solution for -4[2-(6a+1)]=4+[2(3a+1)] equation:


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

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

Combine like terms: 2 + -1 = 1
-4[1 + -6a] = 4 + [2(3a + 1)]
[1 * -4 + -6a * -4] = 4 + [2(3a + 1)]
[-4 + 24a] = 4 + [2(3a + 1)]

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

Remove brackets around [2 + 6a]
-4 + 24a = 4 + 2 + 6a

Combine like terms: 4 + 2 = 6
-4 + 24a = 6 + 6a

Solving
-4 + 24a = 6 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-4 + 24a + -6a = 6 + 6a + -6a

Combine like terms: 24a + -6a = 18a
-4 + 18a = 6 + 6a + -6a

Combine like terms: 6a + -6a = 0
-4 + 18a = 6 + 0
-4 + 18a = 6

Add '4' to each side of the equation.
-4 + 4 + 18a = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 18a = 6 + 4
18a = 6 + 4

Combine like terms: 6 + 4 = 10
18a = 10

Divide each side by '18'.
a = 0.5555555556

Simplifying
a = 0.5555555556

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