a+(2a+7)+(2b+2)=366

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Solution for a+(2a+7)+(2b+2)=366 equation: 


Simplifying
a + (2a + 7) + (2b + 2) = 366

Reorder the terms:
a + (7 + 2a) + (2b + 2) = 366

Remove parenthesis around (7 + 2a)
a + 7 + 2a + (2b + 2) = 366

Reorder the terms:
a + 7 + 2a + (2 + 2b) = 366

Remove parenthesis around (2 + 2b)
a + 7 + 2a + 2 + 2b = 366

Reorder the terms:
7 + 2 + a + 2a + 2b = 366

Combine like terms: 7 + 2 = 9
9 + a + 2a + 2b = 366

Combine like terms: a + 2a = 3a
9 + 3a + 2b = 366

Solving
9 + 3a + 2b = 366

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + 3a + -9 + 2b = 366 + -9

Reorder the terms:
9 + -9 + 3a + 2b = 366 + -9

Combine like terms: 9 + -9 = 0
0 + 3a + 2b = 366 + -9
3a + 2b = 366 + -9

Combine like terms: 366 + -9 = 357
3a + 2b = 357

Add '-2b' to each side of the equation.
3a + 2b + -2b = 357 + -2b

Combine like terms: 2b + -2b = 0
3a + 0 = 357 + -2b
3a = 357 + -2b

Divide each side by '3'.
a = 119 + -0.6666666667b

Simplifying
a = 119 + -0.6666666667b

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