(14a-16)-(9+7a)=-2a

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Solution for (14a-16)-(9+7a)=-2a equation:


Simplifying
(14a + -16) + -1(9 + 7a) = -2a

Reorder the terms:
(-16 + 14a) + -1(9 + 7a) = -2a

Remove parenthesis around (-16 + 14a)
-16 + 14a + -1(9 + 7a) = -2a
-16 + 14a + (9 * -1 + 7a * -1) = -2a
-16 + 14a + (-9 + -7a) = -2a

Reorder the terms:
-16 + -9 + 14a + -7a = -2a

Combine like terms: -16 + -9 = -25
-25 + 14a + -7a = -2a

Combine like terms: 14a + -7a = 7a
-25 + 7a = -2a

Solving
-25 + 7a = -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-25 + 7a + 2a = -2a + 2a

Combine like terms: 7a + 2a = 9a
-25 + 9a = -2a + 2a

Combine like terms: -2a + 2a = 0
-25 + 9a = 0

Add '25' to each side of the equation.
-25 + 25 + 9a = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 9a = 0 + 25
9a = 0 + 25

Combine like terms: 0 + 25 = 25
9a = 25

Divide each side by '9'.
a = 2.777777778

Simplifying
a = 2.777777778

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