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

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


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

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

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

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

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

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

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

Combine like terms: a + a = 2a
1 + 2a + 2a = 13

Combine like terms: 2a + 2a = 4a
1 + 4a = 13

Solving
1 + 4a = 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 + 4a = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 4a = 13 + -1
4a = 13 + -1

Combine like terms: 13 + -1 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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