A+(2a+10)+(3a+20)=180

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Solution for A+(2a+10)+(3a+20)=180 equation:


Simplifying
A + (2a + 10) + (3a + 20) = 180

Reorder the terms:
A + (10 + 2a) + (3a + 20) = 180

Remove parenthesis around (10 + 2a)
A + 10 + 2a + (3a + 20) = 180

Reorder the terms:
A + 10 + 2a + (20 + 3a) = 180

Remove parenthesis around (20 + 3a)
A + 10 + 2a + 20 + 3a = 180

Reorder the terms:
10 + 20 + A + 2a + 3a = 180

Combine like terms: 10 + 20 = 30
30 + A + 2a + 3a = 180

Combine like terms: 2a + 3a = 5a
30 + A + 5a = 180

Solving
30 + A + 5a = 180

Solving for variable 'A'.

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

Add '-30' to each side of the equation.
30 + A + -30 + 5a = 180 + -30

Reorder the terms:
30 + -30 + A + 5a = 180 + -30

Combine like terms: 30 + -30 = 0
0 + A + 5a = 180 + -30
A + 5a = 180 + -30

Combine like terms: 180 + -30 = 150
A + 5a = 150

Add '-5a' to each side of the equation.
A + 5a + -5a = 150 + -5a

Combine like terms: 5a + -5a = 0
A + 0 = 150 + -5a
A = 150 + -5a

Simplifying
A = 150 + -5a

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