3a+(2a-5)+2a+4=13

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Solution for 3a+(2a-5)+2a+4=13 equation:


Simplifying
3a + (2a + -5) + 2a + 4 = 13

Reorder the terms:
3a + (-5 + 2a) + 2a + 4 = 13

Remove parenthesis around (-5 + 2a)
3a + -5 + 2a + 2a + 4 = 13

Reorder the terms:
-5 + 4 + 3a + 2a + 2a = 13

Combine like terms: -5 + 4 = -1
-1 + 3a + 2a + 2a = 13

Combine like terms: 3a + 2a = 5a
-1 + 5a + 2a = 13

Combine like terms: 5a + 2a = 7a
-1 + 7a = 13

Solving
-1 + 7a = 13

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 7a = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 7a = 13 + 1
7a = 13 + 1

Combine like terms: 13 + 1 = 14
7a = 14

Divide each side by '7'.
a = 2

Simplifying
a = 2

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