9a+16=2a+12

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Solution for 9a+16=2a+12 equation:


Simplifying
9a + 16 = 2a + 12

Reorder the terms:
16 + 9a = 2a + 12

Reorder the terms:
16 + 9a = 12 + 2a

Solving
16 + 9a = 12 + 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 + 9a + -2a = 12 + 2a + -2a

Combine like terms: 9a + -2a = 7a
16 + 7a = 12 + 2a + -2a

Combine like terms: 2a + -2a = 0
16 + 7a = 12 + 0
16 + 7a = 12

Add '-16' to each side of the equation.
16 + -16 + 7a = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 7a = 12 + -16
7a = 12 + -16

Combine like terms: 12 + -16 = -4
7a = -4

Divide each side by '7'.
a = -0.5714285714

Simplifying
a = -0.5714285714

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