(A+6)+((A+2)+6)=(3A)+6

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Solution for (A+6)+((A+2)+6)=(3A)+6 equation:


Simplifying
(A + 6) + ((A + 2) + 6) = (3A) + 6

Reorder the terms:
(6 + A) + ((A + 2) + 6) = (3A) + 6

Remove parenthesis around (6 + A)
6 + A + ((A + 2) + 6) = (3A) + 6

Reorder the terms:
6 + A + ((2 + A) + 6) = (3A) + 6

Remove parenthesis around (2 + A)
6 + A + (2 + A + 6) = (3A) + 6

Reorder the terms:
6 + A + (2 + 6 + A) = (3A) + 6

Combine like terms: 2 + 6 = 8
6 + A + (8 + A) = (3A) + 6

Remove parenthesis around (8 + A)
6 + A + 8 + A = (3A) + 6

Reorder the terms:
6 + 8 + A + A = (3A) + 6

Combine like terms: 6 + 8 = 14
14 + A + A = (3A) + 6

Combine like terms: A + A = 2A
14 + 2A = (3A) + 6

Reorder the terms:
14 + 2A = 6 + (3A)

Solving
14 + 2A = 6 + (3A)

Solving for variable 'A'.

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

Add '(-3A)' to each side of the equation.
14 + 2A + (-3A) = 6 + (3A) + (-3A)

Combine like terms: 2A + (-3A) = -1A
14 + -1A = 6 + (3A) + (-3A)

Combine like terms: (3A) + (-3A) = 0
14 + -1A = 6 + 0
14 + -1A = 6

Add '-14' to each side of the equation.
14 + -14 + -1A = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -1A = 6 + -14
-1A = 6 + -14

Combine like terms: 6 + -14 = -8
-1A = -8

Divide each side by '-1'.
A = 8

Simplifying
A = 8

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