a+(a+2)=(a+3)-(a+1)

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Solution for a+(a+2)=(a+3)-(a+1) equation: 


Simplifying
a + (a + 2) = (a + 3) + -1(a + 1)

Reorder the terms:
a + (2 + a) = (a + 3) + -1(a + 1)

Remove parenthesis around (2 + a)
a + 2 + a = (a + 3) + -1(a + 1)

Reorder the terms:
2 + a + a = (a + 3) + -1(a + 1)

Combine like terms: a + a = 2a
2 + 2a = (a + 3) + -1(a + 1)

Reorder the terms:
2 + 2a = (3 + a) + -1(a + 1)

Remove parenthesis around (3 + a)
2 + 2a = 3 + a + -1(a + 1)

Reorder the terms:
2 + 2a = 3 + a + -1(1 + a)
2 + 2a = 3 + a + (1 * -1 + a * -1)
2 + 2a = 3 + a + (-1 + -1a)

Reorder the terms:
2 + 2a = 3 + -1 + a + -1a

Combine like terms: 3 + -1 = 2
2 + 2a = 2 + a + -1a

Combine like terms: a + -1a = 0
2 + 2a = 2 + 0
2 + 2a = 2

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

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

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

Solving
2a = 0

Solving for variable 'a'.

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

Divide each side by '2'.
a = 0

Simplifying
a = 0

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