8+A+(2A-8)=(A+8)+9+16

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Solution for 8+A+(2A-8)=(A+8)+9+16 equation:


Simplifying
8 + A + (2A + -8) = (A + 8) + 9 + 16

Reorder the terms:
8 + A + (-8 + 2A) = (A + 8) + 9 + 16

Remove parenthesis around (-8 + 2A)
8 + A + -8 + 2A = (A + 8) + 9 + 16

Reorder the terms:
8 + -8 + A + 2A = (A + 8) + 9 + 16

Combine like terms: 8 + -8 = 0
0 + A + 2A = (A + 8) + 9 + 16
A + 2A = (A + 8) + 9 + 16

Combine like terms: A + 2A = 3A
3A = (A + 8) + 9 + 16

Reorder the terms:
3A = (8 + A) + 9 + 16

Remove parenthesis around (8 + A)
3A = 8 + A + 9 + 16

Reorder the terms:
3A = 8 + 9 + 16 + A

Combine like terms: 8 + 9 = 17
3A = 17 + 16 + A

Combine like terms: 17 + 16 = 33
3A = 33 + A

Solving
3A = 33 + A

Solving for variable 'A'.

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

Add '-1A' to each side of the equation.
3A + -1A = 33 + A + -1A

Combine like terms: 3A + -1A = 2A
2A = 33 + A + -1A

Combine like terms: A + -1A = 0
2A = 33 + 0
2A = 33

Divide each side by '2'.
A = 16.5

Simplifying
A = 16.5

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