6a=7(6a-(7a+(8a-2)))+2

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Solution for 6a=7(6a-(7a+(8a-2)))+2 equation: 


Simplifying
6a = 7(6a + -1(7a + (8a + -2))) + 2

Reorder the terms:
6a = 7(6a + -1(7a + (-2 + 8a))) + 2

Remove parenthesis around (-2 + 8a)
6a = 7(6a + -1(7a + -2 + 8a)) + 2

Reorder the terms:
6a = 7(6a + -1(-2 + 7a + 8a)) + 2

Combine like terms: 7a + 8a = 15a
6a = 7(6a + -1(-2 + 15a)) + 2
6a = 7(6a + (-2 * -1 + 15a * -1)) + 2
6a = 7(6a + (2 + -15a)) + 2

Reorder the terms:
6a = 7(2 + 6a + -15a) + 2

Combine like terms: 6a + -15a = -9a
6a = 7(2 + -9a) + 2
6a = (2 * 7 + -9a * 7) + 2
6a = (14 + -63a) + 2

Reorder the terms:
6a = 14 + 2 + -63a

Combine like terms: 14 + 2 = 16
6a = 16 + -63a

Solving
6a = 16 + -63a

Solving for variable 'a'.

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

Add '63a' to each side of the equation.
6a + 63a = 16 + -63a + 63a

Combine like terms: 6a + 63a = 69a
69a = 16 + -63a + 63a

Combine like terms: -63a + 63a = 0
69a = 16 + 0
69a = 16

Divide each side by '69'.
a = 0.231884058

Simplifying
a = 0.231884058

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