(7a+13)+(a-5)=-16

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Solution for (7a+13)+(a-5)=-16 equation: 


Simplifying
(7a + 13) + (a + -5) = -16

Reorder the terms:
(13 + 7a) + (a + -5) = -16

Remove parenthesis around (13 + 7a)
13 + 7a + (a + -5) = -16

Reorder the terms:
13 + 7a + (-5 + a) = -16

Remove parenthesis around (-5 + a)
13 + 7a + -5 + a = -16

Reorder the terms:
13 + -5 + 7a + a = -16

Combine like terms: 13 + -5 = 8
8 + 7a + a = -16

Combine like terms: 7a + a = 8a
8 + 8a = -16

Solving
8 + 8a = -16

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -8 + 8a = -16 + -8

Combine like terms: 8 + -8 = 0
0 + 8a = -16 + -8
8a = -16 + -8

Combine like terms: -16 + -8 = -24
8a = -24

Divide each side by '8'.
a = -3

Simplifying
a = -3

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