a+(37+a)+(2a-40)=433

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Solution for a+(37+a)+(2a-40)=433 equation:


Simplifying
a + (37 + a) + (2a + -40) = 433

Remove parenthesis around (37 + a)
a + 37 + a + (2a + -40) = 433

Reorder the terms:
a + 37 + a + (-40 + 2a) = 433

Remove parenthesis around (-40 + 2a)
a + 37 + a + -40 + 2a = 433

Reorder the terms:
37 + -40 + a + a + 2a = 433

Combine like terms: 37 + -40 = -3
-3 + a + a + 2a = 433

Combine like terms: a + a = 2a
-3 + 2a + 2a = 433

Combine like terms: 2a + 2a = 4a
-3 + 4a = 433

Solving
-3 + 4a = 433

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 4a = 433 + 3

Combine like terms: -3 + 3 = 0
0 + 4a = 433 + 3
4a = 433 + 3

Combine like terms: 433 + 3 = 436
4a = 436

Divide each side by '4'.
a = 109

Simplifying
a = 109

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