16=12(a+5)+5-a

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Solution for 16=12(a+5)+5-a equation: 


Simplifying
16 = 12(a + 5) + 5 + -1a

Reorder the terms:
16 = 12(5 + a) + 5 + -1a
16 = (5 * 12 + a * 12) + 5 + -1a
16 = (60 + 12a) + 5 + -1a

Reorder the terms:
16 = 60 + 5 + 12a + -1a

Combine like terms: 60 + 5 = 65
16 = 65 + 12a + -1a

Combine like terms: 12a + -1a = 11a
16 = 65 + 11a

Solving
16 = 65 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
16 + -11a = 65 + 11a + -11a

Combine like terms: 11a + -11a = 0
16 + -11a = 65 + 0
16 + -11a = 65

Add '-16' to each side of the equation.
16 + -16 + -11a = 65 + -16

Combine like terms: 16 + -16 = 0
0 + -11a = 65 + -16
-11a = 65 + -16

Combine like terms: 65 + -16 = 49
-11a = 49

Divide each side by '-11'.
a = -4.454545455

Simplifying
a = -4.454545455

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