2+3a+4=13-a+3

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Solution for 2+3a+4=13-a+3 equation:


Simplifying
2 + 3a + 4 = 13 + -1a + 3

Reorder the terms:
2 + 4 + 3a = 13 + -1a + 3

Combine like terms: 2 + 4 = 6
6 + 3a = 13 + -1a + 3

Reorder the terms:
6 + 3a = 13 + 3 + -1a

Combine like terms: 13 + 3 = 16
6 + 3a = 16 + -1a

Solving
6 + 3a = 16 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + 3a + a = 16 + -1a + a

Combine like terms: 3a + a = 4a
6 + 4a = 16 + -1a + a

Combine like terms: -1a + a = 0
6 + 4a = 16 + 0
6 + 4a = 16

Add '-6' to each side of the equation.
6 + -6 + 4a = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 4a = 16 + -6
4a = 16 + -6

Combine like terms: 16 + -6 = 10
4a = 10

Divide each side by '4'.
a = 2.5

Simplifying
a = 2.5

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