8a=20(8a-[5a+(6a-3)])+2

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Solution for 8a=20(8a-[5a+(6a-3)])+2 equation:


Simplifying
8a = 20(8a + -1[5a + (6a + -3)]) + 2

Reorder the terms:
8a = 20(8a + -1[5a + (-3 + 6a)]) + 2

Remove parenthesis around (-3 + 6a)
8a = 20(8a + -1[5a + -3 + 6a]) + 2

Reorder the terms:
8a = 20(8a + -1[-3 + 5a + 6a]) + 2

Combine like terms: 5a + 6a = 11a
8a = 20(8a + -1[-3 + 11a]) + 2
8a = 20(8a + [-3 * -1 + 11a * -1]) + 2
8a = 20(8a + [3 + -11a]) + 2

Reorder the terms:
8a = 20(3 + 8a + -11a) + 2

Combine like terms: 8a + -11a = -3a
8a = 20(3 + -3a) + 2
8a = (3 * 20 + -3a * 20) + 2
8a = (60 + -60a) + 2

Reorder the terms:
8a = 60 + 2 + -60a

Combine like terms: 60 + 2 = 62
8a = 62 + -60a

Solving
8a = 62 + -60a

Solving for variable 'a'.

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

Add '60a' to each side of the equation.
8a + 60a = 62 + -60a + 60a

Combine like terms: 8a + 60a = 68a
68a = 62 + -60a + 60a

Combine like terms: -60a + 60a = 0
68a = 62 + 0
68a = 62

Divide each side by '68'.
a = 0.9117647059

Simplifying
a = 0.9117647059

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