9a+2=5a-16

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Solution for 9a+2=5a-16 equation:


Simplifying
9a + 2 = 5a + -16

Reorder the terms:
2 + 9a = 5a + -16

Reorder the terms:
2 + 9a = -16 + 5a

Solving
2 + 9a = -16 + 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.
2 + 9a + -5a = -16 + 5a + -5a

Combine like terms: 9a + -5a = 4a
2 + 4a = -16 + 5a + -5a

Combine like terms: 5a + -5a = 0
2 + 4a = -16 + 0
2 + 4a = -16

Add '-2' to each side of the equation.
2 + -2 + 4a = -16 + -2

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

Combine like terms: -16 + -2 = -18
4a = -18

Divide each side by '4'.
a = -4.5

Simplifying
a = -4.5

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