a+(a+1)+(a+2)+(a+3)=(a+4)+(a+5)

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Solution for a+(a+1)+(a+2)+(a+3)=(a+4)+(a+5) equation: 


Simplifying
a + (a + 1) + (a + 2) + (a + 3) = (a + 4) + (a + 5)

Reorder the terms:
a + (1 + a) + (a + 2) + (a + 3) = (a + 4) + (a + 5)

Remove parenthesis around (1 + a)
a + 1 + a + (a + 2) + (a + 3) = (a + 4) + (a + 5)

Reorder the terms:
a + 1 + a + (2 + a) + (a + 3) = (a + 4) + (a + 5)

Remove parenthesis around (2 + a)
a + 1 + a + 2 + a + (a + 3) = (a + 4) + (a + 5)

Reorder the terms:
a + 1 + a + 2 + a + (3 + a) = (a + 4) + (a + 5)

Remove parenthesis around (3 + a)
a + 1 + a + 2 + a + 3 + a = (a + 4) + (a + 5)

Reorder the terms:
1 + 2 + 3 + a + a + a + a = (a + 4) + (a + 5)

Combine like terms: 1 + 2 = 3
3 + 3 + a + a + a + a = (a + 4) + (a + 5)

Combine like terms: 3 + 3 = 6
6 + a + a + a + a = (a + 4) + (a + 5)

Combine like terms: a + a = 2a
6 + 2a + a + a = (a + 4) + (a + 5)

Combine like terms: 2a + a = 3a
6 + 3a + a = (a + 4) + (a + 5)

Combine like terms: 3a + a = 4a
6 + 4a = (a + 4) + (a + 5)

Reorder the terms:
6 + 4a = (4 + a) + (a + 5)

Remove parenthesis around (4 + a)
6 + 4a = 4 + a + (a + 5)

Reorder the terms:
6 + 4a = 4 + a + (5 + a)

Remove parenthesis around (5 + a)
6 + 4a = 4 + a + 5 + a

Reorder the terms:
6 + 4a = 4 + 5 + a + a

Combine like terms: 4 + 5 = 9
6 + 4a = 9 + a + a

Combine like terms: a + a = 2a
6 + 4a = 9 + 2a

Solving
6 + 4a = 9 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 4a + -2a = 9 + 2a + -2a

Combine like terms: 4a + -2a = 2a
6 + 2a = 9 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 2a = 9 + 0
6 + 2a = 9

Add '-6' to each side of the equation.
6 + -6 + 2a = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 9 + -6
2a = 9 + -6

Combine like terms: 9 + -6 = 3
2a = 3

Divide each side by '2'.
a = 1.5

Simplifying
a = 1.5

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