2a-9=14a+1

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Solution for 2a-9=14a+1 equation:


Simplifying
2a + -9 = 14a + 1

Reorder the terms:
-9 + 2a = 14a + 1

Reorder the terms:
-9 + 2a = 1 + 14a

Solving
-9 + 2a = 1 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
-9 + 2a + -14a = 1 + 14a + -14a

Combine like terms: 2a + -14a = -12a
-9 + -12a = 1 + 14a + -14a

Combine like terms: 14a + -14a = 0
-9 + -12a = 1 + 0
-9 + -12a = 1

Add '9' to each side of the equation.
-9 + 9 + -12a = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -12a = 1 + 9
-12a = 1 + 9

Combine like terms: 1 + 9 = 10
-12a = 10

Divide each side by '-12'.
a = -0.8333333333

Simplifying
a = -0.8333333333

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