(7a+3)+(a-5)=-16

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Solution for (7a+3)+(a-5)=-16 equation:


Simplifying
(7a + 3) + (a + -5) = -16

Reorder the terms:
(3 + 7a) + (a + -5) = -16

Remove parenthesis around (3 + 7a)
3 + 7a + (a + -5) = -16

Reorder the terms:
3 + 7a + (-5 + a) = -16

Remove parenthesis around (-5 + a)
3 + 7a + -5 + a = -16

Reorder the terms:
3 + -5 + 7a + a = -16

Combine like terms: 3 + -5 = -2
-2 + 7a + a = -16

Combine like terms: 7a + a = 8a
-2 + 8a = -16

Solving
-2 + 8a = -16

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 2 + 8a = -16 + 2

Combine like terms: -2 + 2 = 0
0 + 8a = -16 + 2
8a = -16 + 2

Combine like terms: -16 + 2 = -14
8a = -14

Divide each side by '8'.
a = -1.75

Simplifying
a = -1.75

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