a+(a-4)=(a+5)-(a+1)

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


Simplifying
a + (a + -4) = (a + 5) + -1(a + 1)

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

Remove parenthesis around (-4 + a)
a + -4 + a = (a + 5) + -1(a + 1)

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

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

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

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

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

Reorder the terms:
-4 + 2a = 5 + -1 + a + -1a

Combine like terms: 5 + -1 = 4
-4 + 2a = 4 + a + -1a

Combine like terms: a + -1a = 0
-4 + 2a = 4 + 0
-4 + 2a = 4

Solving
-4 + 2a = 4

Solving for variable 'a'.

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

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

Combine like terms: -4 + 4 = 0
0 + 2a = 4 + 4
2a = 4 + 4

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

Divide each side by '2'.
a = 4

Simplifying
a = 4

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