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

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


Simplifying
A + (a + 1) + (a + 2) + (a + 3) = 0

Reorder the terms:
A + (1 + a) + (a + 2) + (a + 3) = 0

Remove parenthesis around (1 + a)
A + 1 + a + (a + 2) + (a + 3) = 0

Reorder the terms:
A + 1 + a + (2 + a) + (a + 3) = 0

Remove parenthesis around (2 + a)
A + 1 + a + 2 + a + (a + 3) = 0

Reorder the terms:
A + 1 + a + 2 + a + (3 + a) = 0

Remove parenthesis around (3 + a)
A + 1 + a + 2 + a + 3 + a = 0

Reorder the terms:
1 + 2 + 3 + A + a + a + a = 0

Combine like terms: 1 + 2 = 3
3 + 3 + A + a + a + a = 0

Combine like terms: 3 + 3 = 6
6 + A + a + a + a = 0

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

Combine like terms: 2a + a = 3a
6 + A + 3a = 0

Solving
6 + A + 3a = 0

Solving for variable 'A'.

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

Add '-6' to each side of the equation.
6 + A + -6 + 3a = 0 + -6

Reorder the terms:
6 + -6 + A + 3a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + A + 3a = 0 + -6
A + 3a = 0 + -6

Combine like terms: 0 + -6 = -6
A + 3a = -6

Add '-3a' to each side of the equation.
A + 3a + -3a = -6 + -3a

Combine like terms: 3a + -3a = 0
A + 0 = -6 + -3a
A = -6 + -3a

Simplifying
A = -6 + -3a

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