-4a+14+6a=2a-7a

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Solution for -4a+14+6a=2a-7a equation:


Simplifying
-4a + 14 + 6a = 2a + -7a

Reorder the terms:
14 + -4a + 6a = 2a + -7a

Combine like terms: -4a + 6a = 2a
14 + 2a = 2a + -7a

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

Solving
14 + 2a = -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
14 + 2a + 5a = -5a + 5a

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

Combine like terms: -5a + 5a = 0
14 + 7a = 0

Add '-14' to each side of the equation.
14 + -14 + 7a = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 7a = 0 + -14
7a = 0 + -14

Combine like terms: 0 + -14 = -14
7a = -14

Divide each side by '7'.
a = -2

Simplifying
a = -2

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