a+(17+a)+(4a-35)=900

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Solution for a+(17+a)+(4a-35)=900 equation: 


Simplifying
a + (17 + a) + (4a + -35) = 900

Remove parenthesis around (17 + a)
a + 17 + a + (4a + -35) = 900

Reorder the terms:
a + 17 + a + (-35 + 4a) = 900

Remove parenthesis around (-35 + 4a)
a + 17 + a + -35 + 4a = 900

Reorder the terms:
17 + -35 + a + a + 4a = 900

Combine like terms: 17 + -35 = -18
-18 + a + a + 4a = 900

Combine like terms: a + a = 2a
-18 + 2a + 4a = 900

Combine like terms: 2a + 4a = 6a
-18 + 6a = 900

Solving
-18 + 6a = 900

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + 18 + 6a = 900 + 18

Combine like terms: -18 + 18 = 0
0 + 6a = 900 + 18
6a = 900 + 18

Combine like terms: 900 + 18 = 918
6a = 918

Divide each side by '6'.
a = 153

Simplifying
a = 153

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