a+(a+2)+(3a-11)+(a+13)+(2a+3)=350

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Solution for a+(a+2)+(3a-11)+(a+13)+(2a+3)=350 equation:


Simplifying
a + (a + 2) + (3a + -11) + (a + 13) + (2a + 3) = 350

Reorder the terms:
a + (2 + a) + (3a + -11) + (a + 13) + (2a + 3) = 350

Remove parenthesis around (2 + a)
a + 2 + a + (3a + -11) + (a + 13) + (2a + 3) = 350

Reorder the terms:
a + 2 + a + (-11 + 3a) + (a + 13) + (2a + 3) = 350

Remove parenthesis around (-11 + 3a)
a + 2 + a + -11 + 3a + (a + 13) + (2a + 3) = 350

Reorder the terms:
a + 2 + a + -11 + 3a + (13 + a) + (2a + 3) = 350

Remove parenthesis around (13 + a)
a + 2 + a + -11 + 3a + 13 + a + (2a + 3) = 350

Reorder the terms:
a + 2 + a + -11 + 3a + 13 + a + (3 + 2a) = 350

Remove parenthesis around (3 + 2a)
a + 2 + a + -11 + 3a + 13 + a + 3 + 2a = 350

Reorder the terms:
2 + -11 + 13 + 3 + a + a + 3a + a + 2a = 350

Combine like terms: 2 + -11 = -9
-9 + 13 + 3 + a + a + 3a + a + 2a = 350

Combine like terms: -9 + 13 = 4
4 + 3 + a + a + 3a + a + 2a = 350

Combine like terms: 4 + 3 = 7
7 + a + a + 3a + a + 2a = 350

Combine like terms: a + a = 2a
7 + 2a + 3a + a + 2a = 350

Combine like terms: 2a + 3a = 5a
7 + 5a + a + 2a = 350

Combine like terms: 5a + a = 6a
7 + 6a + 2a = 350

Combine like terms: 6a + 2a = 8a
7 + 8a = 350

Solving
7 + 8a = 350

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 8a = 350 + -7

Combine like terms: 7 + -7 = 0
0 + 8a = 350 + -7
8a = 350 + -7

Combine like terms: 350 + -7 = 343
8a = 343

Divide each side by '8'.
a = 42.875

Simplifying
a = 42.875

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