14-6(a-2)=9+a

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Solution for 14-6(a-2)=9+a equation:


Simplifying
14 + -6(a + -2) = 9 + a

Reorder the terms:
14 + -6(-2 + a) = 9 + a
14 + (-2 * -6 + a * -6) = 9 + a
14 + (12 + -6a) = 9 + a

Combine like terms: 14 + 12 = 26
26 + -6a = 9 + a

Solving
26 + -6a = 9 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
26 + -6a + -1a = 9 + a + -1a

Combine like terms: -6a + -1a = -7a
26 + -7a = 9 + a + -1a

Combine like terms: a + -1a = 0
26 + -7a = 9 + 0
26 + -7a = 9

Add '-26' to each side of the equation.
26 + -26 + -7a = 9 + -26

Combine like terms: 26 + -26 = 0
0 + -7a = 9 + -26
-7a = 9 + -26

Combine like terms: 9 + -26 = -17
-7a = -17

Divide each side by '-7'.
a = 2.428571429

Simplifying
a = 2.428571429

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