5a+(2a-5)+(a-3)=16

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Solution for 5a+(2a-5)+(a-3)=16 equation: 


Simplifying
5a + (2a + -5) + (a + -3) = 16

Reorder the terms:
5a + (-5 + 2a) + (a + -3) = 16

Remove parenthesis around (-5 + 2a)
5a + -5 + 2a + (a + -3) = 16

Reorder the terms:
5a + -5 + 2a + (-3 + a) = 16

Remove parenthesis around (-3 + a)
5a + -5 + 2a + -3 + a = 16

Reorder the terms:
-5 + -3 + 5a + 2a + a = 16

Combine like terms: -5 + -3 = -8
-8 + 5a + 2a + a = 16

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