3a+5+9a-2=7a-3+14+a

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Solution for 3a+5+9a-2=7a-3+14+a equation: 


Simplifying
3a + 5 + 9a + -2 = 7a + -3 + 14 + a

Reorder the terms:
5 + -2 + 3a + 9a = 7a + -3 + 14 + a

Combine like terms: 5 + -2 = 3
3 + 3a + 9a = 7a + -3 + 14 + a

Combine like terms: 3a + 9a = 12a
3 + 12a = 7a + -3 + 14 + a

Reorder the terms:
3 + 12a = -3 + 14 + 7a + a

Combine like terms: -3 + 14 = 11
3 + 12a = 11 + 7a + a

Combine like terms: 7a + a = 8a
3 + 12a = 11 + 8a

Solving
3 + 12a = 11 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
3 + 12a + -8a = 11 + 8a + -8a

Combine like terms: 12a + -8a = 4a
3 + 4a = 11 + 8a + -8a

Combine like terms: 8a + -8a = 0
3 + 4a = 11 + 0
3 + 4a = 11

Add '-3' to each side of the equation.
3 + -3 + 4a = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 4a = 11 + -3
4a = 11 + -3

Combine like terms: 11 + -3 = 8
4a = 8

Divide each side by '4'.
a = 2

Simplifying
a = 2

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