12a+14=-3a-16

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Solution for 12a+14=-3a-16 equation:


Simplifying
12a + 14 = -3a + -16

Reorder the terms:
14 + 12a = -3a + -16

Reorder the terms:
14 + 12a = -16 + -3a

Solving
14 + 12a = -16 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
14 + 12a + 3a = -16 + -3a + 3a

Combine like terms: 12a + 3a = 15a
14 + 15a = -16 + -3a + 3a

Combine like terms: -3a + 3a = 0
14 + 15a = -16 + 0
14 + 15a = -16

Add '-14' to each side of the equation.
14 + -14 + 15a = -16 + -14

Combine like terms: 14 + -14 = 0
0 + 15a = -16 + -14
15a = -16 + -14

Combine like terms: -16 + -14 = -30
15a = -30

Divide each side by '15'.
a = -2

Simplifying
a = -2

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