-4a+16+6a=7a-9a

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Solution for -4a+16+6a=7a-9a equation:


Simplifying
-4a + 16 + 6a = 7a + -9a

Reorder the terms:
16 + -4a + 6a = 7a + -9a

Combine like terms: -4a + 6a = 2a
16 + 2a = 7a + -9a

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

Solving
16 + 2a = -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.
16 + 2a + 2a = -2a + 2a

Combine like terms: 2a + 2a = 4a
16 + 4a = -2a + 2a

Combine like terms: -2a + 2a = 0
16 + 4a = 0

Add '-16' to each side of the equation.
16 + -16 + 4a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 4a = 0 + -16
4a = 0 + -16

Combine like terms: 0 + -16 = -16
4a = -16

Divide each side by '4'.
a = -4

Simplifying
a = -4

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