a+(a+3)+(2a+b)=180

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Solution for a+(a+3)+(2a+b)=180 equation:


Simplifying
a + (a + 3) + (2a + b) = 180

Reorder the terms:
a + (3 + a) + (2a + b) = 180

Remove parenthesis around (3 + a)
a + 3 + a + (2a + b) = 180

Remove parenthesis around (2a + b)
a + 3 + a + 2a + b = 180

Reorder the terms:
3 + a + a + 2a + b = 180

Combine like terms: a + a = 2a
3 + 2a + 2a + b = 180

Combine like terms: 2a + 2a = 4a
3 + 4a + b = 180

Solving
3 + 4a + b = 180

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 + 4a + -3 + b = 180 + -3

Reorder the terms:
3 + -3 + 4a + b = 180 + -3

Combine like terms: 3 + -3 = 0
0 + 4a + b = 180 + -3
4a + b = 180 + -3

Combine like terms: 180 + -3 = 177
4a + b = 177

Add '-1b' to each side of the equation.
4a + b + -1b = 177 + -1b

Combine like terms: b + -1b = 0
4a + 0 = 177 + -1b
4a = 177 + -1b

Divide each side by '4'.
a = 44.25 + -0.25b

Simplifying
a = 44.25 + -0.25b

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