2a+(2a+2)+(2a+4)=8a

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Solution for 2a+(2a+2)+(2a+4)=8a equation:


Simplifying
2a + (2a + 2) + (2a + 4) = 8a

Reorder the terms:
2a + (2 + 2a) + (2a + 4) = 8a

Remove parenthesis around (2 + 2a)
2a + 2 + 2a + (2a + 4) = 8a

Reorder the terms:
2a + 2 + 2a + (4 + 2a) = 8a

Remove parenthesis around (4 + 2a)
2a + 2 + 2a + 4 + 2a = 8a

Reorder the terms:
2 + 4 + 2a + 2a + 2a = 8a

Combine like terms: 2 + 4 = 6
6 + 2a + 2a + 2a = 8a

Combine like terms: 2a + 2a = 4a
6 + 4a + 2a = 8a

Combine like terms: 4a + 2a = 6a
6 + 6a = 8a

Solving
6 + 6a = 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + 6a + -8a = 8a + -8a

Combine like terms: 6a + -8a = -2a
6 + -2a = 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -2a = 0

Add '-6' to each side of the equation.
6 + -6 + -2a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = 0 + -6
-2a = 0 + -6

Combine like terms: 0 + -6 = -6
-2a = -6

Divide each side by '-2'.
a = 3

Simplifying
a = 3

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