a+(20+a)+(2a+30)=180

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Solution for a+(20+a)+(2a+30)=180 equation: 


Simplifying
a + (20 + a) + (2a + 30) = 180

Remove parenthesis around (20 + a)
a + 20 + a + (2a + 30) = 180

Reorder the terms:
a + 20 + a + (30 + 2a) = 180

Remove parenthesis around (30 + 2a)
a + 20 + a + 30 + 2a = 180

Reorder the terms:
20 + 30 + a + a + 2a = 180

Combine like terms: 20 + 30 = 50
50 + a + a + 2a = 180

Combine like terms: a + a = 2a
50 + 2a + 2a = 180

Combine like terms: 2a + 2a = 4a
50 + 4a = 180

Solving
50 + 4a = 180

Solving for variable 'a'.

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

Add '-50' to each side of the equation.
50 + -50 + 4a = 180 + -50

Combine like terms: 50 + -50 = 0
0 + 4a = 180 + -50
4a = 180 + -50

Combine like terms: 180 + -50 = 130
4a = 130

Divide each side by '4'.
a = 32.5

Simplifying
a = 32.5

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